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Finding the Fourth Proportional to 9,124.14, 13,691.62 and 3,858.87

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Solution

The fourth proportional to 9,124.14, 13,691.62 and 3,858.87 is: 5,790.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.14 : 13,691.62 = 3,858.87 : x
  2. Step 2: Convert to fraction form
    9,124.14/13,691.62 = 3,858.87/x
  3. Step 3: Cross multiply
    9,124.14x = 13,691.62 × 3,858.87
  4. Step 4: Simplify right side
    9,124.14x = 52,834,181.67
  5. Step 5: Solve for x
    x = 52,834,181.67/9,124.14
  6. Step 6: Final answer
    x = 5,790.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.