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Finding the Fourth Proportional to 6,515.68, 9,774.24 and 2,619.68

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Solution

The fourth proportional to 6,515.68, 9,774.24 and 2,619.68 is: 3,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.68 : 9,774.24 = 2,619.68 : x
  2. Step 2: Convert to fraction form
    6,515.68/9,774.24 = 2,619.68/x
  3. Step 3: Cross multiply
    6,515.68x = 9,774.24 × 2,619.68
  4. Step 4: Simplify right side
    6,515.68x = 25,605,381.04
  5. Step 5: Solve for x
    x = 25,605,381.04/6,515.68
  6. Step 6: Final answer
    x = 3,929.81

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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.