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Finding the Fourth Proportional to 6,591.48, 9,102.68 and 5,641.85

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Solution

The fourth proportional to 6,591.48, 9,102.68 and 5,641.85 is: 7,791.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.48 : 9,102.68 = 5,641.85 : x
  2. Step 2: Convert to fraction form
    6,591.48/9,102.68 = 5,641.85/x
  3. Step 3: Cross multiply
    6,591.48x = 9,102.68 × 5,641.85
  4. Step 4: Simplify right side
    6,591.48x = 51,355,970.86
  5. Step 5: Solve for x
    x = 51,355,970.86/6,591.48
  6. Step 6: Final answer
    x = 7,791.27

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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.