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Finding the Fourth Proportional to 6,165.27, 9,237.13 and 5,131.91

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Solution

The fourth proportional to 6,165.27, 9,237.13 and 5,131.91 is: 7,688.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.27 : 9,237.13 = 5,131.91 : x
  2. Step 2: Convert to fraction form
    6,165.27/9,237.13 = 5,131.91/x
  3. Step 3: Cross multiply
    6,165.27x = 9,237.13 × 5,131.91
  4. Step 4: Simplify right side
    6,165.27x = 47,404,132.65
  5. Step 5: Solve for x
    x = 47,404,132.65/6,165.27
  6. Step 6: Final answer
    x = 7,688.90

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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.