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Finding the Fourth Proportional to 6,522.30, 9,769.05 and 2,624.70

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Solution

The fourth proportional to 6,522.30, 9,769.05 and 2,624.70 is: 3,931.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.30 : 9,769.05 = 2,624.70 : x
  2. Step 2: Convert to fraction form
    6,522.30/9,769.05 = 2,624.70/x
  3. Step 3: Cross multiply
    6,522.30x = 9,769.05 × 2,624.70
  4. Step 4: Simplify right side
    6,522.30x = 25,640,825.54
  5. Step 5: Solve for x
    x = 25,640,825.54/6,522.30
  6. Step 6: Final answer
    x = 3,931.26

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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.