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Finding the Fourth Proportional to 9,681, 14,526.36 and 4,488.36

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Solution

The fourth proportional to 9,681, 14,526.36 and 4,488.36 is: 6,734.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681 : 14,526.36 = 4,488.36 : x
  2. Step 2: Convert to fraction form
    9,681/14,526.36 = 4,488.36/x
  3. Step 3: Cross multiply
    9,681x = 14,526.36 × 4,488.36
  4. Step 4: Simplify right side
    9,681x = 65,199,533.17
  5. Step 5: Solve for x
    x = 65,199,533.17/9,681
  6. Step 6: Final answer
    x = 6,734.79

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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.