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Finding the Fourth Proportional to 6,104.46, 9,139.22 and 5,716.94

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Solution

The fourth proportional to 6,104.46, 9,139.22 and 5,716.94 is: 8,559.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,104.46 : 9,139.22 = 5,716.94 : x
  2. Step 2: Convert to fraction form
    6,104.46/9,139.22 = 5,716.94/x
  3. Step 3: Cross multiply
    6,104.46x = 9,139.22 × 5,716.94
  4. Step 4: Simplify right side
    6,104.46x = 52,248,372.39
  5. Step 5: Solve for x
    x = 52,248,372.39/6,104.46
  6. Step 6: Final answer
    x = 8,559.05

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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.