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Finding the Fourth Proportional to 9,614.72, 14,421.88 and 2,689.04

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Solution

The fourth proportional to 9,614.72, 14,421.88 and 2,689.04 is: 4,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.72 : 14,421.88 = 2,689.04 : x
  2. Step 2: Convert to fraction form
    9,614.72/14,421.88 = 2,689.04/x
  3. Step 3: Cross multiply
    9,614.72x = 14,421.88 × 2,689.04
  4. Step 4: Simplify right side
    9,614.72x = 38,781,012.20
  5. Step 5: Solve for x
    x = 38,781,012.20/9,614.72
  6. Step 6: Final answer
    x = 4,033.50

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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.