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Finding the Fourth Proportional to 6,181.64, 9,277.66 and 2,674.30

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Solution

The fourth proportional to 6,181.64, 9,277.66 and 2,674.30 is: 4,013.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.64 : 9,277.66 = 2,674.30 : x
  2. Step 2: Convert to fraction form
    6,181.64/9,277.66 = 2,674.30/x
  3. Step 3: Cross multiply
    6,181.64x = 9,277.66 × 2,674.30
  4. Step 4: Simplify right side
    6,181.64x = 24,811,246.14
  5. Step 5: Solve for x
    x = 24,811,246.14/6,181.64
  6. Step 6: Final answer
    x = 4,013.70

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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.