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Finding the Fourth Proportional to 9,614.40, 14,411.16 and 4,673.04

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Solution

The fourth proportional to 9,614.40, 14,411.16 and 4,673.04 is: 7,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.40 : 14,411.16 = 4,673.04 : x
  2. Step 2: Convert to fraction form
    9,614.40/14,411.16 = 4,673.04/x
  3. Step 3: Cross multiply
    9,614.40x = 14,411.16 × 4,673.04
  4. Step 4: Simplify right side
    9,614.40x = 67,343,927.13
  5. Step 5: Solve for x
    x = 67,343,927.13/9,614.40
  6. Step 6: Final answer
    x = 7,004.49

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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.