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Finding the Fourth Proportional to 9,247.72, 12,761.86 and 5,055.97

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Solution

The fourth proportional to 9,247.72, 12,761.86 and 5,055.97 is: 6,977.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.72 : 12,761.86 = 5,055.97 : x
  2. Step 2: Convert to fraction form
    9,247.72/12,761.86 = 5,055.97/x
  3. Step 3: Cross multiply
    9,247.72x = 12,761.86 × 5,055.97
  4. Step 4: Simplify right side
    9,247.72x = 64,523,581.30
  5. Step 5: Solve for x
    x = 64,523,581.30/9,247.72
  6. Step 6: Final answer
    x = 6,977.24

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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.