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Finding the Fourth Proportional to 6,393.78, 9,586.83 and 2,500.02

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Solution

The fourth proportional to 6,393.78, 9,586.83 and 2,500.02 is: 3,748.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.78 : 9,586.83 = 2,500.02 : x
  2. Step 2: Convert to fraction form
    6,393.78/9,586.83 = 2,500.02/x
  3. Step 3: Cross multiply
    6,393.78x = 9,586.83 × 2,500.02
  4. Step 4: Simplify right side
    6,393.78x = 23,967,266.74
  5. Step 5: Solve for x
    x = 23,967,266.74/6,393.78
  6. Step 6: Final answer
    x = 3,748.53

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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.