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Finding the Fourth Proportional to 6,395.40, 9,586.50 and 3,467.52

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Solution

The fourth proportional to 6,395.40, 9,586.50 and 3,467.52 is: 5,197.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.40 : 9,586.50 = 3,467.52 : x
  2. Step 2: Convert to fraction form
    6,395.40/9,586.50 = 3,467.52/x
  3. Step 3: Cross multiply
    6,395.40x = 9,586.50 × 3,467.52
  4. Step 4: Simplify right side
    6,395.40x = 33,241,380.48
  5. Step 5: Solve for x
    x = 33,241,380.48/6,395.40
  6. Step 6: Final answer
    x = 5,197.70

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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.