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Finding the Fourth Proportional to 6,398.16, 9,576.72 and 3,429.20

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Solution

The fourth proportional to 6,398.16, 9,576.72 and 3,429.20 is: 5,132.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,398.16 : 9,576.72 = 3,429.20 : x
  2. Step 2: Convert to fraction form
    6,398.16/9,576.72 = 3,429.20/x
  3. Step 3: Cross multiply
    6,398.16x = 9,576.72 × 3,429.20
  4. Step 4: Simplify right side
    6,398.16x = 32,840,440.34
  5. Step 5: Solve for x
    x = 32,840,440.34/6,398.16
  6. Step 6: Final answer
    x = 5,132.79

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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.