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Finding the Fourth Proportional to 9,247.80, 12,766.22 and 5,713.08

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Solution

The fourth proportional to 9,247.80, 12,766.22 and 5,713.08 is: 7,886.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.80 : 12,766.22 = 5,713.08 : x
  2. Step 2: Convert to fraction form
    9,247.80/12,766.22 = 5,713.08/x
  3. Step 3: Cross multiply
    9,247.80x = 12,766.22 × 5,713.08
  4. Step 4: Simplify right side
    9,247.80x = 72,934,436.16
  5. Step 5: Solve for x
    x = 72,934,436.16/9,247.80
  6. Step 6: Final answer
    x = 7,886.68

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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.