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Finding the Fourth Proportional to 6,189.97, 9,277.14 and 2,676.46

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Solution

The fourth proportional to 6,189.97, 9,277.14 and 2,676.46 is: 4,011.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.97 : 9,277.14 = 2,676.46 : x
  2. Step 2: Convert to fraction form
    6,189.97/9,277.14 = 2,676.46/x
  3. Step 3: Cross multiply
    6,189.97x = 9,277.14 × 2,676.46
  4. Step 4: Simplify right side
    6,189.97x = 24,829,894.12
  5. Step 5: Solve for x
    x = 24,829,894.12/6,189.97
  6. Step 6: Final answer
    x = 4,011.31

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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.