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Finding the Fourth Proportional to 6,165.77, 9,237.88 and 5,132.41

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Solution

The fourth proportional to 6,165.77, 9,237.88 and 5,132.41 is: 7,689.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.77 : 9,237.88 = 5,132.41 : x
  2. Step 2: Convert to fraction form
    6,165.77/9,237.88 = 5,132.41/x
  3. Step 3: Cross multiply
    6,165.77x = 9,237.88 × 5,132.41
  4. Step 4: Simplify right side
    6,165.77x = 47,412,587.69
  5. Step 5: Solve for x
    x = 47,412,587.69/6,165.77
  6. Step 6: Final answer
    x = 7,689.65

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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.