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Finding the Fourth Proportional to 9,191.64, 13,770.18 and 5,079

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Solution

The fourth proportional to 9,191.64, 13,770.18 and 5,079 is: 7,608.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.64 : 13,770.18 = 5,079 : x
  2. Step 2: Convert to fraction form
    9,191.64/13,770.18 = 5,079/x
  3. Step 3: Cross multiply
    9,191.64x = 13,770.18 × 5,079
  4. Step 4: Simplify right side
    9,191.64x = 69,938,744.22
  5. Step 5: Solve for x
    x = 69,938,744.22/9,191.64
  6. Step 6: Final answer
    x = 7,608.95

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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.