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Finding the Fourth Proportional to 9,883.04, 13,638.48 and 5,691.68

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Solution

The fourth proportional to 9,883.04, 13,638.48 and 5,691.68 is: 7,854.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,883.04 : 13,638.48 = 5,691.68 : x
  2. Step 2: Convert to fraction form
    9,883.04/13,638.48 = 5,691.68/x
  3. Step 3: Cross multiply
    9,883.04x = 13,638.48 × 5,691.68
  4. Step 4: Simplify right side
    9,883.04x = 77,625,863.85
  5. Step 5: Solve for x
    x = 77,625,863.85/9,883.04
  6. Step 6: Final answer
    x = 7,854.45

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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.