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Finding the Fourth Proportional to 6,353.32, 9,530.62 and 2,192.78

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Solution

The fourth proportional to 6,353.32, 9,530.62 and 2,192.78 is: 3,289.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.32 : 9,530.62 = 2,192.78 : x
  2. Step 2: Convert to fraction form
    6,353.32/9,530.62 = 2,192.78/x
  3. Step 3: Cross multiply
    6,353.32x = 9,530.62 × 2,192.78
  4. Step 4: Simplify right side
    6,353.32x = 20,898,552.92
  5. Step 5: Solve for x
    x = 20,898,552.92/6,353.32
  6. Step 6: Final answer
    x = 3,289.39

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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.