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Finding the Fourth Proportional to 6,294.72, 9,438.98 and 2,598.78

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Solution

The fourth proportional to 6,294.72, 9,438.98 and 2,598.78 is: 3,896.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.72 : 9,438.98 = 2,598.78 : x
  2. Step 2: Convert to fraction form
    6,294.72/9,438.98 = 2,598.78/x
  3. Step 3: Cross multiply
    6,294.72x = 9,438.98 × 2,598.78
  4. Step 4: Simplify right side
    6,294.72x = 24,529,832.44
  5. Step 5: Solve for x
    x = 24,529,832.44/6,294.72
  6. Step 6: Final answer
    x = 3,896.89

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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.