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Finding the Fourth Proportional to 9,793.76, 14,675.28 and 6,829.28

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Solution

The fourth proportional to 9,793.76, 14,675.28 and 6,829.28 is: 10,233.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.76 : 14,675.28 = 6,829.28 : x
  2. Step 2: Convert to fraction form
    9,793.76/14,675.28 = 6,829.28/x
  3. Step 3: Cross multiply
    9,793.76x = 14,675.28 × 6,829.28
  4. Step 4: Simplify right side
    9,793.76x = 100,221,596.20
  5. Step 5: Solve for x
    x = 100,221,596.20/9,793.76
  6. Step 6: Final answer
    x = 10,233.21

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Why These Related Problems?

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