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Finding the Fourth Proportional to 9,639.93, 13,297.97 and 5,864.25

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Solution

The fourth proportional to 9,639.93, 13,297.97 and 5,864.25 is: 8,089.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.93 : 13,297.97 = 5,864.25 : x
  2. Step 2: Convert to fraction form
    9,639.93/13,297.97 = 5,864.25/x
  3. Step 3: Cross multiply
    9,639.93x = 13,297.97 × 5,864.25
  4. Step 4: Simplify right side
    9,639.93x = 77,982,620.57
  5. Step 5: Solve for x
    x = 77,982,620.57/9,639.93
  6. Step 6: Final answer
    x = 8,089.54

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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.