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Finding the Fourth Proportional to 9,712.04, 13,404.14 and 5,937.38

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Solution

The fourth proportional to 9,712.04, 13,404.14 and 5,937.38 is: 8,194.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.04 : 13,404.14 = 5,937.38 : x
  2. Step 2: Convert to fraction form
    9,712.04/13,404.14 = 5,937.38/x
  3. Step 3: Cross multiply
    9,712.04x = 13,404.14 × 5,937.38
  4. Step 4: Simplify right side
    9,712.04x = 79,585,472.75
  5. Step 5: Solve for x
    x = 79,585,472.75/9,712.04
  6. Step 6: Final answer
    x = 8,194.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.