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Finding the Fourth Proportional to 6,852.08, 9,445.92 and 4,197.80

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Solution

The fourth proportional to 6,852.08, 9,445.92 and 4,197.80 is: 5,786.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.08 : 9,445.92 = 4,197.80 : x
  2. Step 2: Convert to fraction form
    6,852.08/9,445.92 = 4,197.80/x
  3. Step 3: Cross multiply
    6,852.08x = 9,445.92 × 4,197.80
  4. Step 4: Simplify right side
    6,852.08x = 39,652,082.98
  5. Step 5: Solve for x
    x = 39,652,082.98/6,852.08
  6. Step 6: Final answer
    x = 5,786.87

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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.