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Finding the Fourth Proportional to 6,074.18, 9,097.09 and 4,676.42

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Solution

The fourth proportional to 6,074.18, 9,097.09 and 4,676.42 is: 7,003.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.18 : 9,097.09 = 4,676.42 : x
  2. Step 2: Convert to fraction form
    6,074.18/9,097.09 = 4,676.42/x
  3. Step 3: Cross multiply
    6,074.18x = 9,097.09 × 4,676.42
  4. Step 4: Simplify right side
    6,074.18x = 42,541,850.97
  5. Step 5: Solve for x
    x = 42,541,850.97/6,074.18
  6. Step 6: Final answer
    x = 7,003.72

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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.