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Finding the Fourth Proportional to 9,881.98, 13,638.31 and 5,691.04

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Solution

The fourth proportional to 9,881.98, 13,638.31 and 5,691.04 is: 7,854.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.98 : 13,638.31 = 5,691.04 : x
  2. Step 2: Convert to fraction form
    9,881.98/13,638.31 = 5,691.04/x
  3. Step 3: Cross multiply
    9,881.98x = 13,638.31 × 5,691.04
  4. Step 4: Simplify right side
    9,881.98x = 77,616,167.74
  5. Step 5: Solve for x
    x = 77,616,167.74/9,881.98
  6. Step 6: Final answer
    x = 7,854.31

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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.