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Finding the Fourth Proportional to 9,221.44, 13,818.86 and 5,260.49

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Solution

The fourth proportional to 9,221.44, 13,818.86 and 5,260.49 is: 7,883.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.44 : 13,818.86 = 5,260.49 : x
  2. Step 2: Convert to fraction form
    9,221.44/13,818.86 = 5,260.49/x
  3. Step 3: Cross multiply
    9,221.44x = 13,818.86 × 5,260.49
  4. Step 4: Simplify right side
    9,221.44x = 72,693,928.76
  5. Step 5: Solve for x
    x = 72,693,928.76/9,221.44
  6. Step 6: Final answer
    x = 7,883.15

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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.