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Finding the Fourth Proportional to 9,162.15, 12,643.91 and 5,385.42

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Solution

The fourth proportional to 9,162.15, 12,643.91 and 5,385.42 is: 7,431.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.15 : 12,643.91 = 5,385.42 : x
  2. Step 2: Convert to fraction form
    9,162.15/12,643.91 = 5,385.42/x
  3. Step 3: Cross multiply
    9,162.15x = 12,643.91 × 5,385.42
  4. Step 4: Simplify right side
    9,162.15x = 68,092,765.79
  5. Step 5: Solve for x
    x = 68,092,765.79/9,162.15
  6. Step 6: Final answer
    x = 7,431.96

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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.