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Finding the Fourth Proportional to 6,999.08, 9,658.65 and 3,855.20

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Solution

The fourth proportional to 6,999.08, 9,658.65 and 3,855.20 is: 5,320.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.08 : 9,658.65 = 3,855.20 : x
  2. Step 2: Convert to fraction form
    6,999.08/9,658.65 = 3,855.20/x
  3. Step 3: Cross multiply
    6,999.08x = 9,658.65 × 3,855.20
  4. Step 4: Simplify right side
    6,999.08x = 37,236,027.48
  5. Step 5: Solve for x
    x = 37,236,027.48/6,999.08
  6. Step 6: Final answer
    x = 5,320.13

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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.