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Finding the Fourth Proportional to 6,197.10, 8,549.65 and 4,073.78

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Solution

The fourth proportional to 6,197.10, 8,549.65 and 4,073.78 is: 5,620.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,197.10 : 8,549.65 = 4,073.78 : x
  2. Step 2: Convert to fraction form
    6,197.10/8,549.65 = 4,073.78/x
  3. Step 3: Cross multiply
    6,197.10x = 8,549.65 × 4,073.78
  4. Step 4: Simplify right side
    6,197.10x = 34,829,330.06
  5. Step 5: Solve for x
    x = 34,829,330.06/6,197.10
  6. Step 6: Final answer
    x = 5,620.26

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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.