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Finding the Fourth Proportional to 6,321.32, 9,483.10 and 2,161.76

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Solution

The fourth proportional to 6,321.32, 9,483.10 and 2,161.76 is: 3,243.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.32 : 9,483.10 = 2,161.76 : x
  2. Step 2: Convert to fraction form
    6,321.32/9,483.10 = 2,161.76/x
  3. Step 3: Cross multiply
    6,321.32x = 9,483.10 × 2,161.76
  4. Step 4: Simplify right side
    6,321.32x = 20,500,186.26
  5. Step 5: Solve for x
    x = 20,500,186.26/6,321.32
  6. Step 6: Final answer
    x = 3,243.02

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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.