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Finding the Fourth Proportional to 9,878.97, 13,632.02 and 5,630.27

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Solution

The fourth proportional to 9,878.97, 13,632.02 and 5,630.27 is: 7,769.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,878.97 : 13,632.02 = 5,630.27 : x
  2. Step 2: Convert to fraction form
    9,878.97/13,632.02 = 5,630.27/x
  3. Step 3: Cross multiply
    9,878.97x = 13,632.02 × 5,630.27
  4. Step 4: Simplify right side
    9,878.97x = 76,751,953.25
  5. Step 5: Solve for x
    x = 76,751,953.25/9,878.97
  6. Step 6: Final answer
    x = 7,769.23

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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.