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Finding the Fourth Proportional to 6,114.11, 9,169.95 and 2,992.78

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Solution

The fourth proportional to 6,114.11, 9,169.95 and 2,992.78 is: 4,488.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.11 : 9,169.95 = 2,992.78 : x
  2. Step 2: Convert to fraction form
    6,114.11/9,169.95 = 2,992.78/x
  3. Step 3: Cross multiply
    6,114.11x = 9,169.95 × 2,992.78
  4. Step 4: Simplify right side
    6,114.11x = 27,443,597.11
  5. Step 5: Solve for x
    x = 27,443,597.11/6,114.11
  6. Step 6: Final answer
    x = 4,488.57

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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.