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Finding the Fourth Proportional to 9,291.42, 13,918.97 and 6,162.12

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Solution

The fourth proportional to 9,291.42, 13,918.97 and 6,162.12 is: 9,231.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,291.42 : 13,918.97 = 6,162.12 : x
  2. Step 2: Convert to fraction form
    9,291.42/13,918.97 = 6,162.12/x
  3. Step 3: Cross multiply
    9,291.42x = 13,918.97 × 6,162.12
  4. Step 4: Simplify right side
    9,291.42x = 85,770,378.82
  5. Step 5: Solve for x
    x = 85,770,378.82/9,291.42
  6. Step 6: Final answer
    x = 9,231.14

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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.