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Finding the Fourth Proportional to 6,475.31, 9,713.76 and 2,315.76

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Solution

The fourth proportional to 6,475.31, 9,713.76 and 2,315.76 is: 3,473.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.31 : 9,713.76 = 2,315.76 : x
  2. Step 2: Convert to fraction form
    6,475.31/9,713.76 = 2,315.76/x
  3. Step 3: Cross multiply
    6,475.31x = 9,713.76 × 2,315.76
  4. Step 4: Simplify right side
    6,475.31x = 22,494,691.75
  5. Step 5: Solve for x
    x = 22,494,691.75/6,475.31
  6. Step 6: Final answer
    x = 3,473.92

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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.