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Finding the Fourth Proportional to 9,065.98, 13,532.72 and 8,398.22

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Solution

The fourth proportional to 9,065.98, 13,532.72 and 8,398.22 is: 12,535.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,065.98 : 13,532.72 = 8,398.22 : x
  2. Step 2: Convert to fraction form
    9,065.98/13,532.72 = 8,398.22/x
  3. Step 3: Cross multiply
    9,065.98x = 13,532.72 × 8,398.22
  4. Step 4: Simplify right side
    9,065.98x = 113,650,757.72
  5. Step 5: Solve for x
    x = 113,650,757.72/9,065.98
  6. Step 6: Final answer
    x = 12,535.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.