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Finding the Fourth Proportional to 9,786.76, 13,499.04 and 6,248.38

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Solution

The fourth proportional to 9,786.76, 13,499.04 and 6,248.38 is: 8,618.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.76 : 13,499.04 = 6,248.38 : x
  2. Step 2: Convert to fraction form
    9,786.76/13,499.04 = 6,248.38/x
  3. Step 3: Cross multiply
    9,786.76x = 13,499.04 × 6,248.38
  4. Step 4: Simplify right side
    9,786.76x = 84,347,131.56
  5. Step 5: Solve for x
    x = 84,347,131.56/9,786.76
  6. Step 6: Final answer
    x = 8,618.49

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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.