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Finding the Fourth Proportional to 9,201.92, 13,785.53 and 5,442.48

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Solution

The fourth proportional to 9,201.92, 13,785.53 and 5,442.48 is: 8,153.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,201.92 : 13,785.53 = 5,442.48 : x
  2. Step 2: Convert to fraction form
    9,201.92/13,785.53 = 5,442.48/x
  3. Step 3: Cross multiply
    9,201.92x = 13,785.53 × 5,442.48
  4. Step 4: Simplify right side
    9,201.92x = 75,027,444.10
  5. Step 5: Solve for x
    x = 75,027,444.10/9,201.92
  6. Step 6: Final answer
    x = 8,153.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.