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Finding the Fourth Proportional to 9,160.72, 13,737.42 and 3,314.12

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Solution

The fourth proportional to 9,160.72, 13,737.42 and 3,314.12 is: 4,969.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,160.72 : 13,737.42 = 3,314.12 : x
  2. Step 2: Convert to fraction form
    9,160.72/13,737.42 = 3,314.12/x
  3. Step 3: Cross multiply
    9,160.72x = 13,737.42 × 3,314.12
  4. Step 4: Simplify right side
    9,160.72x = 45,527,458.37
  5. Step 5: Solve for x
    x = 45,527,458.37/9,160.72
  6. Step 6: Final answer
    x = 4,969.86

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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.