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Finding the Fourth Proportional to 9,685.20, 13,357.80 and 6,149.28

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Solution

The fourth proportional to 9,685.20, 13,357.80 and 6,149.28 is: 8,481.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.20 : 13,357.80 = 6,149.28 : x
  2. Step 2: Convert to fraction form
    9,685.20/13,357.80 = 6,149.28/x
  3. Step 3: Cross multiply
    9,685.20x = 13,357.80 × 6,149.28
  4. Step 4: Simplify right side
    9,685.20x = 82,140,852.38
  5. Step 5: Solve for x
    x = 82,140,852.38/9,685.20
  6. Step 6: Final answer
    x = 8,481.07

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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.