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Finding the Fourth Proportional to 9,213.88, 12,702.28 and 7,791.86

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Solution

The fourth proportional to 9,213.88, 12,702.28 and 7,791.86 is: 10,741.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.88 : 12,702.28 = 7,791.86 : x
  2. Step 2: Convert to fraction form
    9,213.88/12,702.28 = 7,791.86/x
  3. Step 3: Cross multiply
    9,213.88x = 12,702.28 × 7,791.86
  4. Step 4: Simplify right side
    9,213.88x = 98,974,387.44
  5. Step 5: Solve for x
    x = 98,974,387.44/9,213.88
  6. Step 6: Final answer
    x = 10,741.88

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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.