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Finding the Fourth Proportional to 9,938.80, 13,706.40 and 6,756.88

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Solution

The fourth proportional to 9,938.80, 13,706.40 and 6,756.88 is: 9,318.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,938.80 : 13,706.40 = 6,756.88 : x
  2. Step 2: Convert to fraction form
    9,938.80/13,706.40 = 6,756.88/x
  3. Step 3: Cross multiply
    9,938.80x = 13,706.40 × 6,756.88
  4. Step 4: Simplify right side
    9,938.80x = 92,612,500.03
  5. Step 5: Solve for x
    x = 92,612,500.03/9,938.80
  6. Step 6: Final answer
    x = 9,318.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.