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Finding the Fourth Proportional to 6,441.40, 9,671.10 and 4,115.80

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Solution

The fourth proportional to 6,441.40, 9,671.10 and 4,115.80 is: 6,179.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.40 : 9,671.10 = 4,115.80 : x
  2. Step 2: Convert to fraction form
    6,441.40/9,671.10 = 4,115.80/x
  3. Step 3: Cross multiply
    6,441.40x = 9,671.10 × 4,115.80
  4. Step 4: Simplify right side
    6,441.40x = 39,804,313.38
  5. Step 5: Solve for x
    x = 39,804,313.38/6,441.40
  6. Step 6: Final answer
    x = 6,179.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.