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Finding the Fourth Proportional to 6,902.33, 9,525.05 and 4,031.55

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Solution

The fourth proportional to 6,902.33, 9,525.05 and 4,031.55 is: 5,563.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.33 : 9,525.05 = 4,031.55 : x
  2. Step 2: Convert to fraction form
    6,902.33/9,525.05 = 4,031.55/x
  3. Step 3: Cross multiply
    6,902.33x = 9,525.05 × 4,031.55
  4. Step 4: Simplify right side
    6,902.33x = 38,400,695.17
  5. Step 5: Solve for x
    x = 38,400,695.17/6,902.33
  6. Step 6: Final answer
    x = 5,563.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.