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Finding the Fourth Proportional to 6,647.40, 9,960.30 and 4,177.80

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Solution

The fourth proportional to 6,647.40, 9,960.30 and 4,177.80 is: 6,259.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.40 : 9,960.30 = 4,177.80 : x
  2. Step 2: Convert to fraction form
    6,647.40/9,960.30 = 4,177.80/x
  3. Step 3: Cross multiply
    6,647.40x = 9,960.30 × 4,177.80
  4. Step 4: Simplify right side
    6,647.40x = 41,612,141.34
  5. Step 5: Solve for x
    x = 41,612,141.34/6,647.40
  6. Step 6: Final answer
    x = 6,259.91

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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.