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Finding the Fourth Proportional to 9,247.71, 12,760.35 and 5,268.90

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Solution

The fourth proportional to 9,247.71, 12,760.35 and 5,268.90 is: 7,270.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.71 : 12,760.35 = 5,268.90 : x
  2. Step 2: Convert to fraction form
    9,247.71/12,760.35 = 5,268.90/x
  3. Step 3: Cross multiply
    9,247.71x = 12,760.35 × 5,268.90
  4. Step 4: Simplify right side
    9,247.71x = 67,233,008.12
  5. Step 5: Solve for x
    x = 67,233,008.12/9,247.71
  6. Step 6: Final answer
    x = 7,270.23

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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.