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Finding the Fourth Proportional to 9,211.80, 12,713.94 and 5,434.74

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Solution

The fourth proportional to 9,211.80, 12,713.94 and 5,434.74 is: 7,500.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.80 : 12,713.94 = 5,434.74 : x
  2. Step 2: Convert to fraction form
    9,211.80/12,713.94 = 5,434.74/x
  3. Step 3: Cross multiply
    9,211.80x = 12,713.94 × 5,434.74
  4. Step 4: Simplify right side
    9,211.80x = 69,096,958.28
  5. Step 5: Solve for x
    x = 69,096,958.28/9,211.80
  6. Step 6: Final answer
    x = 7,500.92

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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.