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Finding the Fourth Proportional to 6,115.32, 9,171.63 and 1,732.68

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Solution

The fourth proportional to 6,115.32, 9,171.63 and 1,732.68 is: 2,598.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.32 : 9,171.63 = 1,732.68 : x
  2. Step 2: Convert to fraction form
    6,115.32/9,171.63 = 1,732.68/x
  3. Step 3: Cross multiply
    6,115.32x = 9,171.63 × 1,732.68
  4. Step 4: Simplify right side
    6,115.32x = 15,891,499.87
  5. Step 5: Solve for x
    x = 15,891,499.87/6,115.32
  6. Step 6: Final answer
    x = 2,598.64

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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.