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Finding the Fourth Proportional to 12,397.14, 17,107.74 and 7,091.61

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Solution

The fourth proportional to 12,397.14, 17,107.74 and 7,091.61 is: 9,786.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.14 : 17,107.74 = 7,091.61 : x
  2. Step 2: Convert to fraction form
    12,397.14/17,107.74 = 7,091.61/x
  3. Step 3: Cross multiply
    12,397.14x = 17,107.74 × 7,091.61
  4. Step 4: Simplify right side
    12,397.14x = 121,321,506.11
  5. Step 5: Solve for x
    x = 121,321,506.11/12,397.14
  6. Step 6: Final answer
    x = 9,786.25

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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.