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Finding the Fourth Proportional to 6,139.84, 9,207.68 and 2,676.16

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Solution

The fourth proportional to 6,139.84, 9,207.68 and 2,676.16 is: 4,013.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.84 : 9,207.68 = 2,676.16 : x
  2. Step 2: Convert to fraction form
    6,139.84/9,207.68 = 2,676.16/x
  3. Step 3: Cross multiply
    6,139.84x = 9,207.68 × 2,676.16
  4. Step 4: Simplify right side
    6,139.84x = 24,641,224.91
  5. Step 5: Solve for x
    x = 24,641,224.91/6,139.84
  6. Step 6: Final answer
    x = 4,013.33

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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.