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Finding the Fourth Proportional to 9,138.86, 13,706.57 and 4,454.16

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Solution

The fourth proportional to 9,138.86, 13,706.57 and 4,454.16 is: 6,680.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.86 : 13,706.57 = 4,454.16 : x
  2. Step 2: Convert to fraction form
    9,138.86/13,706.57 = 4,454.16/x
  3. Step 3: Cross multiply
    9,138.86x = 13,706.57 × 4,454.16
  4. Step 4: Simplify right side
    9,138.86x = 61,051,306.16
  5. Step 5: Solve for x
    x = 61,051,306.16/9,138.86
  6. Step 6: Final answer
    x = 6,680.41

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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.