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Finding the Fourth Proportional to 9,113.87, 13,665.13 and 3,846.17

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Solution

The fourth proportional to 9,113.87, 13,665.13 and 3,846.17 is: 5,766.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.87 : 13,665.13 = 3,846.17 : x
  2. Step 2: Convert to fraction form
    9,113.87/13,665.13 = 3,846.17/x
  3. Step 3: Cross multiply
    9,113.87x = 13,665.13 × 3,846.17
  4. Step 4: Simplify right side
    9,113.87x = 52,558,437.60
  5. Step 5: Solve for x
    x = 52,558,437.60/9,113.87
  6. Step 6: Final answer
    x = 5,766.86

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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.