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Finding the Fourth Proportional to 9,480.57, 13,083.17 and 5,288.82

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Solution

The fourth proportional to 9,480.57, 13,083.17 and 5,288.82 is: 7,298.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.57 : 13,083.17 = 5,288.82 : x
  2. Step 2: Convert to fraction form
    9,480.57/13,083.17 = 5,288.82/x
  3. Step 3: Cross multiply
    9,480.57x = 13,083.17 × 5,288.82
  4. Step 4: Simplify right side
    9,480.57x = 69,194,531.16
  5. Step 5: Solve for x
    x = 69,194,531.16/9,480.57
  6. Step 6: Final answer
    x = 7,298.56

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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.