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Finding the Fourth Proportional to 6,176.68, 9,265.06 and 2,016.60

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Solution

The fourth proportional to 6,176.68, 9,265.06 and 2,016.60 is: 3,024.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.68 : 9,265.06 = 2,016.60 : x
  2. Step 2: Convert to fraction form
    6,176.68/9,265.06 = 2,016.60/x
  3. Step 3: Cross multiply
    6,176.68x = 9,265.06 × 2,016.60
  4. Step 4: Simplify right side
    6,176.68x = 18,683,882.10
  5. Step 5: Solve for x
    x = 18,683,882.10/6,176.68
  6. Step 6: Final answer
    x = 3,024.91

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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.