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Finding the Fourth Proportional to 9,046.22, 13,630.95 and 7,438.78

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Solution

The fourth proportional to 9,046.22, 13,630.95 and 7,438.78 is: 11,208.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.22 : 13,630.95 = 7,438.78 : x
  2. Step 2: Convert to fraction form
    9,046.22/13,630.95 = 7,438.78/x
  3. Step 3: Cross multiply
    9,046.22x = 13,630.95 × 7,438.78
  4. Step 4: Simplify right side
    9,046.22x = 101,397,570.09
  5. Step 5: Solve for x
    x = 101,397,570.09/9,046.22
  6. Step 6: Final answer
    x = 11,208.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.