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Finding the Fourth Proportional to 6,731.47, 9,287.24 and 3,746.72

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Solution

The fourth proportional to 6,731.47, 9,287.24 and 3,746.72 is: 5,169.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.47 : 9,287.24 = 3,746.72 : x
  2. Step 2: Convert to fraction form
    6,731.47/9,287.24 = 3,746.72/x
  3. Step 3: Cross multiply
    6,731.47x = 9,287.24 × 3,746.72
  4. Step 4: Simplify right side
    6,731.47x = 34,796,641.42
  5. Step 5: Solve for x
    x = 34,796,641.42/6,731.47
  6. Step 6: Final answer
    x = 5,169.25

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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.