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Finding the Fourth Proportional to 6,209.60, 8,571.49 and 4,114.40

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Solution

The fourth proportional to 6,209.60, 8,571.49 and 4,114.40 is: 5,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.60 : 8,571.49 = 4,114.40 : x
  2. Step 2: Convert to fraction form
    6,209.60/8,571.49 = 4,114.40/x
  3. Step 3: Cross multiply
    6,209.60x = 8,571.49 × 4,114.40
  4. Step 4: Simplify right side
    6,209.60x = 35,266,485.31
  5. Step 5: Solve for x
    x = 35,266,485.31/6,209.60
  6. Step 6: Final answer
    x = 5,679.35

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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.