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Finding the Fourth Proportional to 9,787,684.60, 14,681,526.90 and 9,031,857.40

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Solution

The fourth proportional to 9,787,684.60, 14,681,526.90 and 9,031,857.40 is: 13,547,786.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787,684.60 : 14,681,526.90 = 9,031,857.40 : x
  2. Step 2: Convert to fraction form
    9,787,684.60/14,681,526.90 = 9,031,857.40/x
  3. Step 3: Cross multiply
    9,787,684.60x = 14,681,526.90 × 9,031,857.40
  4. Step 4: Simplify right side
    9,787,684.60x = 132,601,457,375,064.06
  5. Step 5: Solve for x
    x = 132,601,457,375,064.06/9,787,684.60
  6. Step 6: Final answer
    x = 13,547,786.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.