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Finding the Fourth Proportional to 9,337.68, 14,004.56 and 4,140.24

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Solution

The fourth proportional to 9,337.68, 14,004.56 and 4,140.24 is: 6,209.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.68 : 14,004.56 = 4,140.24 : x
  2. Step 2: Convert to fraction form
    9,337.68/14,004.56 = 4,140.24/x
  3. Step 3: Cross multiply
    9,337.68x = 14,004.56 × 4,140.24
  4. Step 4: Simplify right side
    9,337.68x = 57,982,239.49
  5. Step 5: Solve for x
    x = 57,982,239.49/9,337.68
  6. Step 6: Final answer
    x = 6,209.49

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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.