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Finding the Fourth Proportional to 6,196.62, 8,549.20 and 5,725.06

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Solution

The fourth proportional to 6,196.62, 8,549.20 and 5,725.06 is: 7,898.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.62 : 8,549.20 = 5,725.06 : x
  2. Step 2: Convert to fraction form
    6,196.62/8,549.20 = 5,725.06/x
  3. Step 3: Cross multiply
    6,196.62x = 8,549.20 × 5,725.06
  4. Step 4: Simplify right side
    6,196.62x = 48,944,682.95
  5. Step 5: Solve for x
    x = 48,944,682.95/6,196.62
  6. Step 6: Final answer
    x = 7,898.61

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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.