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Finding the Fourth Proportional to 6,468.24, 9,699.66 and 3,182.88

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Solution

The fourth proportional to 6,468.24, 9,699.66 and 3,182.88 is: 4,772.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,468.24 : 9,699.66 = 3,182.88 : x
  2. Step 2: Convert to fraction form
    6,468.24/9,699.66 = 3,182.88/x
  3. Step 3: Cross multiply
    6,468.24x = 9,699.66 × 3,182.88
  4. Step 4: Simplify right side
    6,468.24x = 30,872,853.82
  5. Step 5: Solve for x
    x = 30,872,853.82/6,468.24
  6. Step 6: Final answer
    x = 4,772.99

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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.