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Finding the Fourth Proportional to 9,198.58, 13,788.28 and 4,264.15

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Solution

The fourth proportional to 9,198.58, 13,788.28 and 4,264.15 is: 6,391.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.58 : 13,788.28 = 4,264.15 : x
  2. Step 2: Convert to fraction form
    9,198.58/13,788.28 = 4,264.15/x
  3. Step 3: Cross multiply
    9,198.58x = 13,788.28 × 4,264.15
  4. Step 4: Simplify right side
    9,198.58x = 58,795,294.16
  5. Step 5: Solve for x
    x = 58,795,294.16/9,198.58
  6. Step 6: Final answer
    x = 6,391.78

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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.