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Finding the Fourth Proportional to 9,059.13, 13,578.72 and 6,830.82

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Solution

The fourth proportional to 9,059.13, 13,578.72 and 6,830.82 is: 10,238.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,059.13 : 13,578.72 = 6,830.82 : x
  2. Step 2: Convert to fraction form
    9,059.13/13,578.72 = 6,830.82/x
  3. Step 3: Cross multiply
    9,059.13x = 13,578.72 × 6,830.82
  4. Step 4: Simplify right side
    9,059.13x = 92,753,792.15
  5. Step 5: Solve for x
    x = 92,753,792.15/9,059.13
  6. Step 6: Final answer
    x = 10,238.71

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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.