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Finding the Fourth Proportional to 6,972.34, 9,621.74 and 3,828.46

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Solution

The fourth proportional to 6,972.34, 9,621.74 and 3,828.46 is: 5,283.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.34 : 9,621.74 = 3,828.46 : x
  2. Step 2: Convert to fraction form
    6,972.34/9,621.74 = 3,828.46/x
  3. Step 3: Cross multiply
    6,972.34x = 9,621.74 × 3,828.46
  4. Step 4: Simplify right side
    6,972.34x = 36,836,446.72
  5. Step 5: Solve for x
    x = 36,836,446.72/6,972.34
  6. Step 6: Final answer
    x = 5,283.23

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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.