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Finding the Fourth Proportional to 9,251.96, 13,860.66 and 7,195.64

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Solution

The fourth proportional to 9,251.96, 13,860.66 and 7,195.64 is: 10,780.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.96 : 13,860.66 = 7,195.64 : x
  2. Step 2: Convert to fraction form
    9,251.96/13,860.66 = 7,195.64/x
  3. Step 3: Cross multiply
    9,251.96x = 13,860.66 × 7,195.64
  4. Step 4: Simplify right side
    9,251.96x = 99,736,319.52
  5. Step 5: Solve for x
    x = 99,736,319.52/9,251.96
  6. Step 6: Final answer
    x = 10,780.02

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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.