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Finding the Fourth Proportional to 9,182.92, 12,672.69 and 5,203.90

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Solution

The fourth proportional to 9,182.92, 12,672.69 and 5,203.90 is: 7,181.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.92 : 12,672.69 = 5,203.90 : x
  2. Step 2: Convert to fraction form
    9,182.92/12,672.69 = 5,203.90/x
  3. Step 3: Cross multiply
    9,182.92x = 12,672.69 × 5,203.90
  4. Step 4: Simplify right side
    9,182.92x = 65,947,348.13
  5. Step 5: Solve for x
    x = 65,947,348.13/9,182.92
  6. Step 6: Final answer
    x = 7,181.53

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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.