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Finding the Fourth Proportional to 9,422.86, 13,003.59 and 5,231.92

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Solution

The fourth proportional to 9,422.86, 13,003.59 and 5,231.92 is: 7,220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.86 : 13,003.59 = 5,231.92 : x
  2. Step 2: Convert to fraction form
    9,422.86/13,003.59 = 5,231.92/x
  3. Step 3: Cross multiply
    9,422.86x = 13,003.59 × 5,231.92
  4. Step 4: Simplify right side
    9,422.86x = 68,033,742.59
  5. Step 5: Solve for x
    x = 68,033,742.59/9,422.86
  6. Step 6: Final answer
    x = 7,220.07

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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.