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Finding the Fourth Proportional to 9,988.49, 13,842.39 and 9,847.55

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Solution

The fourth proportional to 9,988.49, 13,842.39 and 9,847.55 is: 13,647.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,988.49 : 13,842.39 = 9,847.55 : x
  2. Step 2: Convert to fraction form
    9,988.49/13,842.39 = 9,847.55/x
  3. Step 3: Cross multiply
    9,988.49x = 13,842.39 × 9,847.55
  4. Step 4: Simplify right side
    9,988.49x = 136,313,627.64
  5. Step 5: Solve for x
    x = 136,313,627.64/9,988.49
  6. Step 6: Final answer
    x = 13,647.07

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.