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Finding the Fourth Proportional to 6,972.48, 9,622.19 and 3,828.67

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Solution

The fourth proportional to 6,972.48, 9,622.19 and 3,828.67 is: 5,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,972.48 : 9,622.19 = 3,828.67 : x
  2. Step 2: Convert to fraction form
    6,972.48/9,622.19 = 3,828.67/x
  3. Step 3: Cross multiply
    6,972.48x = 9,622.19 × 3,828.67
  4. Step 4: Simplify right side
    6,972.48x = 36,840,175.70
  5. Step 5: Solve for x
    x = 36,840,175.70/6,972.48
  6. Step 6: Final answer
    x = 5,283.65

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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.