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Finding the Fourth Proportional to 6,114.44, 9,178.49 and 5,712.91

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Solution

The fourth proportional to 6,114.44, 9,178.49 and 5,712.91 is: 8,575.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.44 : 9,178.49 = 5,712.91 : x
  2. Step 2: Convert to fraction form
    6,114.44/9,178.49 = 5,712.91/x
  3. Step 3: Cross multiply
    6,114.44x = 9,178.49 × 5,712.91
  4. Step 4: Simplify right side
    6,114.44x = 52,435,878.64
  5. Step 5: Solve for x
    x = 52,435,878.64/6,114.44
  6. Step 6: Final answer
    x = 8,575.74

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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.