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Finding the Fourth Proportional to 6,715.40, 9,267.58 and 3,731.24

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Solution

The fourth proportional to 6,715.40, 9,267.58 and 3,731.24 is: 5,149.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,715.40 : 9,267.58 = 3,731.24 : x
  2. Step 2: Convert to fraction form
    6,715.40/9,267.58 = 3,731.24/x
  3. Step 3: Cross multiply
    6,715.40x = 9,267.58 × 3,731.24
  4. Step 4: Simplify right side
    6,715.40x = 34,579,565.20
  5. Step 5: Solve for x
    x = 34,579,565.20/6,715.40
  6. Step 6: Final answer
    x = 5,149.29

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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.