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Finding the Fourth Proportional to 6,332.70, 9,500.40 and 3,213.12

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Solution

The fourth proportional to 6,332.70, 9,500.40 and 3,213.12 is: 4,820.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,332.70 : 9,500.40 = 3,213.12 : x
  2. Step 2: Convert to fraction form
    6,332.70/9,500.40 = 3,213.12/x
  3. Step 3: Cross multiply
    6,332.70x = 9,500.40 × 3,213.12
  4. Step 4: Simplify right side
    6,332.70x = 30,525,925.25
  5. Step 5: Solve for x
    x = 30,525,925.25/6,332.70
  6. Step 6: Final answer
    x = 4,820.36

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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.