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Finding the Fourth Proportional to 9,691.18, 13,371.35 and 5,914.08

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Solution

The fourth proportional to 9,691.18, 13,371.35 and 5,914.08 is: 8,159.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.18 : 13,371.35 = 5,914.08 : x
  2. Step 2: Convert to fraction form
    9,691.18/13,371.35 = 5,914.08/x
  3. Step 3: Cross multiply
    9,691.18x = 13,371.35 × 5,914.08
  4. Step 4: Simplify right side
    9,691.18x = 79,079,204.04
  5. Step 5: Solve for x
    x = 79,079,204.04/9,691.18
  6. Step 6: Final answer
    x = 8,159.92

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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.