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Finding the Fourth Proportional to 10,350.96, 14,304.60 and 9,198.96

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Solution

The fourth proportional to 10,350.96, 14,304.60 and 9,198.96 is: 12,712.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,350.96 : 14,304.60 = 9,198.96 : x
  2. Step 2: Convert to fraction form
    10,350.96/14,304.60 = 9,198.96/x
  3. Step 3: Cross multiply
    10,350.96x = 14,304.60 × 9,198.96
  4. Step 4: Simplify right side
    10,350.96x = 131,587,443.22
  5. Step 5: Solve for x
    x = 131,587,443.22/10,350.96
  6. Step 6: Final answer
    x = 12,712.58

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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.