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Finding the Fourth Proportional to 9,191.26, 13,768.53 and 4,254.22

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Solution

The fourth proportional to 9,191.26, 13,768.53 and 4,254.22 is: 6,372.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,191.26 : 13,768.53 = 4,254.22 : x
  2. Step 2: Convert to fraction form
    9,191.26/13,768.53 = 4,254.22/x
  3. Step 3: Cross multiply
    9,191.26x = 13,768.53 × 4,254.22
  4. Step 4: Simplify right side
    9,191.26x = 58,574,355.70
  5. Step 5: Solve for x
    x = 58,574,355.70/9,191.26
  6. Step 6: Final answer
    x = 6,372.83

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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.