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Finding the Fourth Proportional to 6,181.65, 9,264.24 and 4,617.81

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Solution

The fourth proportional to 6,181.65, 9,264.24 and 4,617.81 is: 6,920.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.65 : 9,264.24 = 4,617.81 : x
  2. Step 2: Convert to fraction form
    6,181.65/9,264.24 = 4,617.81/x
  3. Step 3: Cross multiply
    6,181.65x = 9,264.24 × 4,617.81
  4. Step 4: Simplify right side
    6,181.65x = 42,780,500.11
  5. Step 5: Solve for x
    x = 42,780,500.11/6,181.65
  6. Step 6: Final answer
    x = 6,920.56

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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.