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Finding the Fourth Proportional to 6,249.62, 9,368.34 and 5,082.02

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Solution

The fourth proportional to 6,249.62, 9,368.34 and 5,082.02 is: 7,618.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.62 : 9,368.34 = 5,082.02 : x
  2. Step 2: Convert to fraction form
    6,249.62/9,368.34 = 5,082.02/x
  3. Step 3: Cross multiply
    6,249.62x = 9,368.34 × 5,082.02
  4. Step 4: Simplify right side
    6,249.62x = 47,610,091.25
  5. Step 5: Solve for x
    x = 47,610,091.25/6,249.62
  6. Step 6: Final answer
    x = 7,618.08

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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.