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Finding the Fourth Proportional to 6,146.88, 9,218.19 and 4,298.85

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Solution

The fourth proportional to 6,146.88, 9,218.19 and 4,298.85 is: 6,446.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.88 : 9,218.19 = 4,298.85 : x
  2. Step 2: Convert to fraction form
    6,146.88/9,218.19 = 4,298.85/x
  3. Step 3: Cross multiply
    6,146.88x = 9,218.19 × 4,298.85
  4. Step 4: Simplify right side
    6,146.88x = 39,627,616.08
  5. Step 5: Solve for x
    x = 39,627,616.08/6,146.88
  6. Step 6: Final answer
    x = 6,446.79

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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.