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Finding the Fourth Proportional to 6,972.75, 9,623.48 and 4,179.87

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Solution

The fourth proportional to 6,972.75, 9,623.48 and 4,179.87 is: 5,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.75 : 9,623.48 = 4,179.87 : x
  2. Step 2: Convert to fraction form
    6,972.75/9,623.48 = 4,179.87/x
  3. Step 3: Cross multiply
    6,972.75x = 9,623.48 × 4,179.87
  4. Step 4: Simplify right side
    6,972.75x = 40,224,874.45
  5. Step 5: Solve for x
    x = 40,224,874.45/6,972.75
  6. Step 6: Final answer
    x = 5,768.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.