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Finding the Fourth Proportional to 9,789.90, 14,680.05 and 6,829.75

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Solution

The fourth proportional to 9,789.90, 14,680.05 and 6,829.75 is: 10,241.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.90 : 14,680.05 = 6,829.75 : x
  2. Step 2: Convert to fraction form
    9,789.90/14,680.05 = 6,829.75/x
  3. Step 3: Cross multiply
    9,789.90x = 14,680.05 × 6,829.75
  4. Step 4: Simplify right side
    9,789.90x = 100,261,071.49
  5. Step 5: Solve for x
    x = 100,261,071.49/9,789.90
  6. Step 6: Final answer
    x = 10,241.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.