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Finding the Fourth Proportional to 9,139.52, 12,611.75 and 5,311.86

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Solution

The fourth proportional to 9,139.52, 12,611.75 and 5,311.86 is: 7,329.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.52 : 12,611.75 = 5,311.86 : x
  2. Step 2: Convert to fraction form
    9,139.52/12,611.75 = 5,311.86/x
  3. Step 3: Cross multiply
    9,139.52x = 12,611.75 × 5,311.86
  4. Step 4: Simplify right side
    9,139.52x = 66,991,823.80
  5. Step 5: Solve for x
    x = 66,991,823.80/9,139.52
  6. Step 6: Final answer
    x = 7,329.91

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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.