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Finding the Fourth Proportional to 6,156.57, 9,234.85 and 3,688.29

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Solution

The fourth proportional to 6,156.57, 9,234.85 and 3,688.29 is: 5,532.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,156.57 : 9,234.85 = 3,688.29 : x
  2. Step 2: Convert to fraction form
    6,156.57/9,234.85 = 3,688.29/x
  3. Step 3: Cross multiply
    6,156.57x = 9,234.85 × 3,688.29
  4. Step 4: Simplify right side
    6,156.57x = 34,060,804.91
  5. Step 5: Solve for x
    x = 34,060,804.91/6,156.57
  6. Step 6: Final answer
    x = 5,532.43

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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.