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Finding the Fourth Proportional to 6,209.28, 9,325.73 and 5,956.65

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Solution

The fourth proportional to 6,209.28, 9,325.73 and 5,956.65 is: 8,946.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.28 : 9,325.73 = 5,956.65 : x
  2. Step 2: Convert to fraction form
    6,209.28/9,325.73 = 5,956.65/x
  3. Step 3: Cross multiply
    6,209.28x = 9,325.73 × 5,956.65
  4. Step 4: Simplify right side
    6,209.28x = 55,550,079.82
  5. Step 5: Solve for x
    x = 55,550,079.82/6,209.28
  6. Step 6: Final answer
    x = 8,946.30

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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.