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Finding the Fourth Proportional to 6,972.27, 9,617.72 and 4,176.15

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Solution

The fourth proportional to 6,972.27, 9,617.72 and 4,176.15 is: 5,760.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.27 : 9,617.72 = 4,176.15 : x
  2. Step 2: Convert to fraction form
    6,972.27/9,617.72 = 4,176.15/x
  3. Step 3: Cross multiply
    6,972.27x = 9,617.72 × 4,176.15
  4. Step 4: Simplify right side
    6,972.27x = 40,165,020.50
  5. Step 5: Solve for x
    x = 40,165,020.50/6,972.27
  6. Step 6: Final answer
    x = 5,760.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.