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Finding the Fourth Proportional to 6,622.47, 9,138.78 and 3,638.16

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Solution

The fourth proportional to 6,622.47, 9,138.78 and 3,638.16 is: 5,020.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,622.47 : 9,138.78 = 3,638.16 : x
  2. Step 2: Convert to fraction form
    6,622.47/9,138.78 = 3,638.16/x
  3. Step 3: Cross multiply
    6,622.47x = 9,138.78 × 3,638.16
  4. Step 4: Simplify right side
    6,622.47x = 33,248,343.84
  5. Step 5: Solve for x
    x = 33,248,343.84/6,622.47
  6. Step 6: Final answer
    x = 5,020.54

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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.