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Finding the Fourth Proportional to 6,082.98, 9,118.95 and 2,186.47

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Solution

The fourth proportional to 6,082.98, 9,118.95 and 2,186.47 is: 3,277.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,082.98 : 9,118.95 = 2,186.47 : x
  2. Step 2: Convert to fraction form
    6,082.98/9,118.95 = 2,186.47/x
  3. Step 3: Cross multiply
    6,082.98x = 9,118.95 × 2,186.47
  4. Step 4: Simplify right side
    6,082.98x = 19,938,310.61
  5. Step 5: Solve for x
    x = 19,938,310.61/6,082.98
  6. Step 6: Final answer
    x = 3,277.72

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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.