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Finding the Fourth Proportional to 6,151.44, 9,182.85 and 5,714.04

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Solution

The fourth proportional to 6,151.44, 9,182.85 and 5,714.04 is: 8,529.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,151.44 : 9,182.85 = 5,714.04 : x
  2. Step 2: Convert to fraction form
    6,151.44/9,182.85 = 5,714.04/x
  3. Step 3: Cross multiply
    6,151.44x = 9,182.85 × 5,714.04
  4. Step 4: Simplify right side
    6,151.44x = 52,471,172.21
  5. Step 5: Solve for x
    x = 52,471,172.21/6,151.44
  6. Step 6: Final answer
    x = 8,529.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.