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Finding the Fourth Proportional to 6,715.68, 9,267.21 and 3,731.46

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Solution

The fourth proportional to 6,715.68, 9,267.21 and 3,731.46 is: 5,149.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.68 : 9,267.21 = 3,731.46 : x
  2. Step 2: Convert to fraction form
    6,715.68/9,267.21 = 3,731.46/x
  3. Step 3: Cross multiply
    6,715.68x = 9,267.21 × 3,731.46
  4. Step 4: Simplify right side
    6,715.68x = 34,580,223.43
  5. Step 5: Solve for x
    x = 34,580,223.43/6,715.68
  6. Step 6: Final answer
    x = 5,149.18

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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.