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Finding the Fourth Proportional to 9,081.92, 12,533.37 and 5,102.95

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Solution

The fourth proportional to 9,081.92, 12,533.37 and 5,102.95 is: 7,042.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,081.92 : 12,533.37 = 5,102.95 : x
  2. Step 2: Convert to fraction form
    9,081.92/12,533.37 = 5,102.95/x
  3. Step 3: Cross multiply
    9,081.92x = 12,533.37 × 5,102.95
  4. Step 4: Simplify right side
    9,081.92x = 63,957,160.44
  5. Step 5: Solve for x
    x = 63,957,160.44/9,081.92
  6. Step 6: Final answer
    x = 7,042.25

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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.