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Finding the Fourth Proportional to 6,102.54, 9,132.75 and 3,761.64

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Solution

The fourth proportional to 6,102.54, 9,132.75 and 3,761.64 is: 5,629.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.54 : 9,132.75 = 3,761.64 : x
  2. Step 2: Convert to fraction form
    6,102.54/9,132.75 = 3,761.64/x
  3. Step 3: Cross multiply
    6,102.54x = 9,132.75 × 3,761.64
  4. Step 4: Simplify right side
    6,102.54x = 34,354,117.71
  5. Step 5: Solve for x
    x = 34,354,117.71/6,102.54
  6. Step 6: Final answer
    x = 5,629.48

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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.