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Finding the Fourth Proportional to 9,208.48, 12,708 and 5,229.52

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Solution

The fourth proportional to 9,208.48, 12,708 and 5,229.52 is: 7,216.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.48 : 12,708 = 5,229.52 : x
  2. Step 2: Convert to fraction form
    9,208.48/12,708 = 5,229.52/x
  3. Step 3: Cross multiply
    9,208.48x = 12,708 × 5,229.52
  4. Step 4: Simplify right side
    9,208.48x = 66,456,740.16
  5. Step 5: Solve for x
    x = 66,456,740.16/9,208.48
  6. Step 6: Final answer
    x = 7,216.91

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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.