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Finding the Fourth Proportional to 10,034.62, 13,850.08 and 6,677.58

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Solution

The fourth proportional to 10,034.62, 13,850.08 and 6,677.58 is: 9,216.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,034.62 : 13,850.08 = 6,677.58 : x
  2. Step 2: Convert to fraction form
    10,034.62/13,850.08 = 6,677.58/x
  3. Step 3: Cross multiply
    10,034.62x = 13,850.08 × 6,677.58
  4. Step 4: Simplify right side
    10,034.62x = 92,485,017.21
  5. Step 5: Solve for x
    x = 92,485,017.21/10,034.62
  6. Step 6: Final answer
    x = 9,216.59

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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.