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Finding the Fourth Proportional to 6,322.52, 9,484.32 and 2,162.36

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Solution

The fourth proportional to 6,322.52, 9,484.32 and 2,162.36 is: 3,243.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.52 : 9,484.32 = 2,162.36 : x
  2. Step 2: Convert to fraction form
    6,322.52/9,484.32 = 2,162.36/x
  3. Step 3: Cross multiply
    6,322.52x = 9,484.32 × 2,162.36
  4. Step 4: Simplify right side
    6,322.52x = 20,508,514.20
  5. Step 5: Solve for x
    x = 20,508,514.20/6,322.52
  6. Step 6: Final answer
    x = 3,243.72

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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.