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Finding the Fourth Proportional to 6,318.40, 9,484.80 and 3,722.80

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Solution

The fourth proportional to 6,318.40, 9,484.80 and 3,722.80 is: 5,588.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,318.40 : 9,484.80 = 3,722.80 : x
  2. Step 2: Convert to fraction form
    6,318.40/9,484.80 = 3,722.80/x
  3. Step 3: Cross multiply
    6,318.40x = 9,484.80 × 3,722.80
  4. Step 4: Simplify right side
    6,318.40x = 35,310,013.44
  5. Step 5: Solve for x
    x = 35,310,013.44/6,318.40
  6. Step 6: Final answer
    x = 5,588.44

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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.