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Finding the Fourth Proportional to 9,881.64, 13,637.10 and 5,691.24

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Solution

The fourth proportional to 9,881.64, 13,637.10 and 5,691.24 is: 7,854.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,881.64 : 13,637.10 = 5,691.24 : x
  2. Step 2: Convert to fraction form
    9,881.64/13,637.10 = 5,691.24/x
  3. Step 3: Cross multiply
    9,881.64x = 13,637.10 × 5,691.24
  4. Step 4: Simplify right side
    9,881.64x = 77,612,009.00
  5. Step 5: Solve for x
    x = 77,612,009.00/9,881.64
  6. Step 6: Final answer
    x = 7,854.16

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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.