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Finding the Fourth Proportional to 9,243.92, 13,852.91 and 6,159.44

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Solution

The fourth proportional to 9,243.92, 13,852.91 and 6,159.44 is: 9,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.92 : 13,852.91 = 6,159.44 : x
  2. Step 2: Convert to fraction form
    9,243.92/13,852.91 = 6,159.44/x
  3. Step 3: Cross multiply
    9,243.92x = 13,852.91 × 6,159.44
  4. Step 4: Simplify right side
    9,243.92x = 85,326,167.97
  5. Step 5: Solve for x
    x = 85,326,167.97/9,243.92
  6. Step 6: Final answer
    x = 9,230.52

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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.