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Finding the Fourth Proportional to 6,107.67, 9,171.45 and 5,652.90

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Solution

The fourth proportional to 6,107.67, 9,171.45 and 5,652.90 is: 8,488.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.67 : 9,171.45 = 5,652.90 : x
  2. Step 2: Convert to fraction form
    6,107.67/9,171.45 = 5,652.90/x
  3. Step 3: Cross multiply
    6,107.67x = 9,171.45 × 5,652.90
  4. Step 4: Simplify right side
    6,107.67x = 51,845,289.71
  5. Step 5: Solve for x
    x = 51,845,289.71/6,107.67
  6. Step 6: Final answer
    x = 8,488.55

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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.