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Finding the Fourth Proportional to 6,294.92, 9,436.26 and 3,007.16

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Solution

The fourth proportional to 6,294.92, 9,436.26 and 3,007.16 is: 4,507.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.92 : 9,436.26 = 3,007.16 : x
  2. Step 2: Convert to fraction form
    6,294.92/9,436.26 = 3,007.16/x
  3. Step 3: Cross multiply
    6,294.92x = 9,436.26 × 3,007.16
  4. Step 4: Simplify right side
    6,294.92x = 28,376,343.62
  5. Step 5: Solve for x
    x = 28,376,343.62/6,294.92
  6. Step 6: Final answer
    x = 4,507.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.