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Finding the Fourth Proportional to 6,121.49, 9,182.84 and 5,704.74

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Solution

The fourth proportional to 6,121.49, 9,182.84 and 5,704.74 is: 8,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.49 : 9,182.84 = 5,704.74 : x
  2. Step 2: Convert to fraction form
    6,121.49/9,182.84 = 5,704.74/x
  3. Step 3: Cross multiply
    6,121.49x = 9,182.84 × 5,704.74
  4. Step 4: Simplify right side
    6,121.49x = 52,385,686.14
  5. Step 5: Solve for x
    x = 52,385,686.14/6,121.49
  6. Step 6: Final answer
    x = 8,557.68

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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.