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Finding the Fourth Proportional to 6,475.18, 9,712.40 and 3,187.20

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Solution

The fourth proportional to 6,475.18, 9,712.40 and 3,187.20 is: 4,780.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.18 : 9,712.40 = 3,187.20 : x
  2. Step 2: Convert to fraction form
    6,475.18/9,712.40 = 3,187.20/x
  3. Step 3: Cross multiply
    6,475.18x = 9,712.40 × 3,187.20
  4. Step 4: Simplify right side
    6,475.18x = 30,955,361.28
  5. Step 5: Solve for x
    x = 30,955,361.28/6,475.18
  6. Step 6: Final answer
    x = 4,780.62

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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.