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Finding the Fourth Proportional to 6,591.75, 9,095.10 and 3,938.64

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Solution

The fourth proportional to 6,591.75, 9,095.10 and 3,938.64 is: 5,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.75 : 9,095.10 = 3,938.64 : x
  2. Step 2: Convert to fraction form
    6,591.75/9,095.10 = 3,938.64/x
  3. Step 3: Cross multiply
    6,591.75x = 9,095.10 × 3,938.64
  4. Step 4: Simplify right side
    6,591.75x = 35,822,324.66
  5. Step 5: Solve for x
    x = 35,822,324.66/6,591.75
  6. Step 6: Final answer
    x = 5,434.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.