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Finding the Fourth Proportional to 9,146.39, 13,707.25 and 6,669.61

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Solution

The fourth proportional to 9,146.39, 13,707.25 and 6,669.61 is: 9,995.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.39 : 13,707.25 = 6,669.61 : x
  2. Step 2: Convert to fraction form
    9,146.39/13,707.25 = 6,669.61/x
  3. Step 3: Cross multiply
    9,146.39x = 13,707.25 × 6,669.61
  4. Step 4: Simplify right side
    9,146.39x = 91,421,960.73
  5. Step 5: Solve for x
    x = 91,421,960.73/9,146.39
  6. Step 6: Final answer
    x = 9,995.42

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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.