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Finding the Fourth Proportional to 9,247.64, 12,758.86 and 5,471.24

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Solution

The fourth proportional to 9,247.64, 12,758.86 and 5,471.24 is: 7,548.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.64 : 12,758.86 = 5,471.24 : x
  2. Step 2: Convert to fraction form
    9,247.64/12,758.86 = 5,471.24/x
  3. Step 3: Cross multiply
    9,247.64x = 12,758.86 × 5,471.24
  4. Step 4: Simplify right side
    9,247.64x = 69,806,785.19
  5. Step 5: Solve for x
    x = 69,806,785.19/9,247.64
  6. Step 6: Final answer
    x = 7,548.61

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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.