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Finding the Fourth Proportional to 6,294.72, 9,429.11 and 3,691.38

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Solution

The fourth proportional to 6,294.72, 9,429.11 and 3,691.38 is: 5,529.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.72 : 9,429.11 = 3,691.38 : x
  2. Step 2: Convert to fraction form
    6,294.72/9,429.11 = 3,691.38/x
  3. Step 3: Cross multiply
    6,294.72x = 9,429.11 × 3,691.38
  4. Step 4: Simplify right side
    6,294.72x = 34,806,428.07
  5. Step 5: Solve for x
    x = 34,806,428.07/6,294.72
  6. Step 6: Final answer
    x = 5,529.46

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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.