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Finding the Fourth Proportional to 6,999.50, 9,659.31 and 3,855.76

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Solution

The fourth proportional to 6,999.50, 9,659.31 and 3,855.76 is: 5,320.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.50 : 9,659.31 = 3,855.76 : x
  2. Step 2: Convert to fraction form
    6,999.50/9,659.31 = 3,855.76/x
  3. Step 3: Cross multiply
    6,999.50x = 9,659.31 × 3,855.76
  4. Step 4: Simplify right side
    6,999.50x = 37,243,981.13
  5. Step 5: Solve for x
    x = 37,243,981.13/6,999.50
  6. Step 6: Final answer
    x = 5,320.95

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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.