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Finding the Fourth Proportional to 6,999.04, 9,658.74 and 3,855.28

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Solution

The fourth proportional to 6,999.04, 9,658.74 and 3,855.28 is: 5,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.04 : 9,658.74 = 3,855.28 : x
  2. Step 2: Convert to fraction form
    6,999.04/9,658.74 = 3,855.28/x
  3. Step 3: Cross multiply
    6,999.04x = 9,658.74 × 3,855.28
  4. Step 4: Simplify right side
    6,999.04x = 37,237,147.15
  5. Step 5: Solve for x
    x = 37,237,147.15/6,999.04
  6. Step 6: Final answer
    x = 5,320.32

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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.