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Finding the Fourth Proportional to 6,176.68, 9,266.94 and 2,016.72

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Solution

The fourth proportional to 6,176.68, 9,266.94 and 2,016.72 is: 3,025.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.68 : 9,266.94 = 2,016.72 : x
  2. Step 2: Convert to fraction form
    6,176.68/9,266.94 = 2,016.72/x
  3. Step 3: Cross multiply
    6,176.68x = 9,266.94 × 2,016.72
  4. Step 4: Simplify right side
    6,176.68x = 18,688,823.24
  5. Step 5: Solve for x
    x = 18,688,823.24/6,176.68
  6. Step 6: Final answer
    x = 3,025.71

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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.