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Finding the Fourth Proportional to 9,513.92, 13,128.42 and 5,480.54

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Solution

The fourth proportional to 9,513.92, 13,128.42 and 5,480.54 is: 7,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.92 : 13,128.42 = 5,480.54 : x
  2. Step 2: Convert to fraction form
    9,513.92/13,128.42 = 5,480.54/x
  3. Step 3: Cross multiply
    9,513.92x = 13,128.42 × 5,480.54
  4. Step 4: Simplify right side
    9,513.92x = 71,950,830.95
  5. Step 5: Solve for x
    x = 71,950,830.95/9,513.92
  6. Step 6: Final answer
    x = 7,562.69

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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.