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Finding the Fourth Proportional to 9,198.01, 13,793.76 and 2,955.91

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Solution

The fourth proportional to 9,198.01, 13,793.76 and 2,955.91 is: 4,432.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.01 : 13,793.76 = 2,955.91 : x
  2. Step 2: Convert to fraction form
    9,198.01/13,793.76 = 2,955.91/x
  3. Step 3: Cross multiply
    9,198.01x = 13,793.76 × 2,955.91
  4. Step 4: Simplify right side
    9,198.01x = 40,773,113.12
  5. Step 5: Solve for x
    x = 40,773,113.12/9,198.01
  6. Step 6: Final answer
    x = 4,432.82

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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.