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Finding the Fourth Proportional to 6,472.67, 9,711.05 and 2,312.58

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Solution

The fourth proportional to 6,472.67, 9,711.05 and 2,312.58 is: 3,469.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.67 : 9,711.05 = 2,312.58 : x
  2. Step 2: Convert to fraction form
    6,472.67/9,711.05 = 2,312.58/x
  3. Step 3: Cross multiply
    6,472.67x = 9,711.05 × 2,312.58
  4. Step 4: Simplify right side
    6,472.67x = 22,457,568.45
  5. Step 5: Solve for x
    x = 22,457,568.45/6,472.67
  6. Step 6: Final answer
    x = 3,469.60

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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.