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Finding the Fourth Proportional to 6,045.88, 9,082.71 and 4,295.14

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Solution

The fourth proportional to 6,045.88, 9,082.71 and 4,295.14 is: 6,452.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,045.88 : 9,082.71 = 4,295.14 : x
  2. Step 2: Convert to fraction form
    6,045.88/9,082.71 = 4,295.14/x
  3. Step 3: Cross multiply
    6,045.88x = 9,082.71 × 4,295.14
  4. Step 4: Simplify right side
    6,045.88x = 39,011,511.03
  5. Step 5: Solve for x
    x = 39,011,511.03/6,045.88
  6. Step 6: Final answer
    x = 6,452.58

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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.