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Finding the Fourth Proportional to 9,142.73, 13,711.37 and 3,877.66

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Solution

The fourth proportional to 9,142.73, 13,711.37 and 3,877.66 is: 5,815.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.73 : 13,711.37 = 3,877.66 : x
  2. Step 2: Convert to fraction form
    9,142.73/13,711.37 = 3,877.66/x
  3. Step 3: Cross multiply
    9,142.73x = 13,711.37 × 3,877.66
  4. Step 4: Simplify right side
    9,142.73x = 53,168,030.99
  5. Step 5: Solve for x
    x = 53,168,030.99/9,142.73
  6. Step 6: Final answer
    x = 5,815.34

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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.