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Finding the Fourth Proportional to 6,578.73, 9,862.23 and 2,417.78

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Solution

The fourth proportional to 6,578.73, 9,862.23 and 2,417.78 is: 3,624.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.73 : 9,862.23 = 2,417.78 : x
  2. Step 2: Convert to fraction form
    6,578.73/9,862.23 = 2,417.78/x
  3. Step 3: Cross multiply
    6,578.73x = 9,862.23 × 2,417.78
  4. Step 4: Simplify right side
    6,578.73x = 23,844,702.45
  5. Step 5: Solve for x
    x = 23,844,702.45/6,578.73
  6. Step 6: Final answer
    x = 3,624.51

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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.