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Finding the Fourth Proportional to 6,411.57, 9,615.06 and 2,463.09

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Solution

The fourth proportional to 6,411.57, 9,615.06 and 2,463.09 is: 3,693.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.57 : 9,615.06 = 2,463.09 : x
  2. Step 2: Convert to fraction form
    6,411.57/9,615.06 = 2,463.09/x
  3. Step 3: Cross multiply
    6,411.57x = 9,615.06 × 2,463.09
  4. Step 4: Simplify right side
    6,411.57x = 23,682,758.14
  5. Step 5: Solve for x
    x = 23,682,758.14/6,411.57
  6. Step 6: Final answer
    x = 3,693.75

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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.