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Finding the Fourth Proportional to 10,691.82, 14,758.82 and 9,570.78

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Solution

The fourth proportional to 10,691.82, 14,758.82 and 9,570.78 is: 13,211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,691.82 : 14,758.82 = 9,570.78 : x
  2. Step 2: Convert to fraction form
    10,691.82/14,758.82 = 9,570.78/x
  3. Step 3: Cross multiply
    10,691.82x = 14,758.82 × 9,570.78
  4. Step 4: Simplify right side
    10,691.82x = 141,253,419.28
  5. Step 5: Solve for x
    x = 141,253,419.28/10,691.82
  6. Step 6: Final answer
    x = 13,211.35

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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.