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Finding the Fourth Proportional to 6,471.17, 9,710.52 and 2,722.68

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Solution

The fourth proportional to 6,471.17, 9,710.52 and 2,722.68 is: 4,085.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,471.17 : 9,710.52 = 2,722.68 : x
  2. Step 2: Convert to fraction form
    6,471.17/9,710.52 = 2,722.68/x
  3. Step 3: Cross multiply
    6,471.17x = 9,710.52 × 2,722.68
  4. Step 4: Simplify right side
    6,471.17x = 26,438,576.43
  5. Step 5: Solve for x
    x = 26,438,576.43/6,471.17
  6. Step 6: Final answer
    x = 4,085.59

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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.