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Finding the Fourth Proportional to 9,106.97, 12,568.19 and 5,522.27

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Solution

The fourth proportional to 9,106.97, 12,568.19 and 5,522.27 is: 7,621.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.97 : 12,568.19 = 5,522.27 : x
  2. Step 2: Convert to fraction form
    9,106.97/12,568.19 = 5,522.27/x
  3. Step 3: Cross multiply
    9,106.97x = 12,568.19 × 5,522.27
  4. Step 4: Simplify right side
    9,106.97x = 69,404,848.14
  5. Step 5: Solve for x
    x = 69,404,848.14/9,106.97
  6. Step 6: Final answer
    x = 7,621.07

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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.