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Finding the Fourth Proportional to 9,627.39, 13,286.69 and 5,849.68

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Solution

The fourth proportional to 9,627.39, 13,286.69 and 5,849.68 is: 8,073.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,627.39 : 13,286.69 = 5,849.68 : x
  2. Step 2: Convert to fraction form
    9,627.39/13,286.69 = 5,849.68/x
  3. Step 3: Cross multiply
    9,627.39x = 13,286.69 × 5,849.68
  4. Step 4: Simplify right side
    9,627.39x = 77,722,855.51
  5. Step 5: Solve for x
    x = 77,722,855.51/9,627.39
  6. Step 6: Final answer
    x = 8,073.10

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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.