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Finding the Fourth Proportional to 6,499.28, 9,752.44 and 4,309.04

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Solution

The fourth proportional to 6,499.28, 9,752.44 and 4,309.04 is: 6,465.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.28 : 9,752.44 = 4,309.04 : x
  2. Step 2: Convert to fraction form
    6,499.28/9,752.44 = 4,309.04/x
  3. Step 3: Cross multiply
    6,499.28x = 9,752.44 × 4,309.04
  4. Step 4: Simplify right side
    6,499.28x = 42,023,654.06
  5. Step 5: Solve for x
    x = 42,023,654.06/6,499.28
  6. Step 6: Final answer
    x = 6,465.89

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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.