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Finding the Fourth Proportional to 6,247.50, 9,372.47 and 2,784.75

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Solution

The fourth proportional to 6,247.50, 9,372.47 and 2,784.75 is: 4,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.50 : 9,372.47 = 2,784.75 : x
  2. Step 2: Convert to fraction form
    6,247.50/9,372.47 = 2,784.75/x
  3. Step 3: Cross multiply
    6,247.50x = 9,372.47 × 2,784.75
  4. Step 4: Simplify right side
    6,247.50x = 26,099,971.91
  5. Step 5: Solve for x
    x = 26,099,971.91/6,247.50
  6. Step 6: Final answer
    x = 4,177.67

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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.