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Finding the Fourth Proportional to 6,516.21, 9,774.31 and 2,619.71

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Solution

The fourth proportional to 6,516.21, 9,774.31 and 2,619.71 is: 3,929.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.21 : 9,774.31 = 2,619.71 : x
  2. Step 2: Convert to fraction form
    6,516.21/9,774.31 = 2,619.71/x
  3. Step 3: Cross multiply
    6,516.21x = 9,774.31 × 2,619.71
  4. Step 4: Simplify right side
    6,516.21x = 25,605,812.05
  5. Step 5: Solve for x
    x = 25,605,812.05/6,516.21
  6. Step 6: Final answer
    x = 3,929.56

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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.