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Finding the Fourth Proportional to 9,447.01, 14,151.07 and 5,542

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Solution

The fourth proportional to 9,447.01, 14,151.07 and 5,542 is: 8,301.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.01 : 14,151.07 = 5,542 : x
  2. Step 2: Convert to fraction form
    9,447.01/14,151.07 = 5,542/x
  3. Step 3: Cross multiply
    9,447.01x = 14,151.07 × 5,542
  4. Step 4: Simplify right side
    9,447.01x = 78,425,229.94
  5. Step 5: Solve for x
    x = 78,425,229.94/9,447.01
  6. Step 6: Final answer
    x = 8,301.59

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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.