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Finding the Fourth Proportional to 6,138.29, 9,210.17 and 3,215.91

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Solution

The fourth proportional to 6,138.29, 9,210.17 and 3,215.91 is: 4,825.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.29 : 9,210.17 = 3,215.91 : x
  2. Step 2: Convert to fraction form
    6,138.29/9,210.17 = 3,215.91/x
  3. Step 3: Cross multiply
    6,138.29x = 9,210.17 × 3,215.91
  4. Step 4: Simplify right side
    6,138.29x = 29,619,061.73
  5. Step 5: Solve for x
    x = 29,619,061.73/6,138.29
  6. Step 6: Final answer
    x = 4,825.30

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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.