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Finding the Fourth Proportional to 9,578.76, 13,217.92 and 5,329.48

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Solution

The fourth proportional to 9,578.76, 13,217.92 and 5,329.48 is: 7,354.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.76 : 13,217.92 = 5,329.48 : x
  2. Step 2: Convert to fraction form
    9,578.76/13,217.92 = 5,329.48/x
  3. Step 3: Cross multiply
    9,578.76x = 13,217.92 × 5,329.48
  4. Step 4: Simplify right side
    9,578.76x = 70,444,640.28
  5. Step 5: Solve for x
    x = 70,444,640.28/9,578.76
  6. Step 6: Final answer
    x = 7,354.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.