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Finding the Fourth Proportional to 9,206.16, 13,816.24 and 6,747.42

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Solution

The fourth proportional to 9,206.16, 13,816.24 and 6,747.42 is: 10,126.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.16 : 13,816.24 = 6,747.42 : x
  2. Step 2: Convert to fraction form
    9,206.16/13,816.24 = 6,747.42/x
  3. Step 3: Cross multiply
    9,206.16x = 13,816.24 × 6,747.42
  4. Step 4: Simplify right side
    9,206.16x = 93,223,974.10
  5. Step 5: Solve for x
    x = 93,223,974.10/9,206.16
  6. Step 6: Final answer
    x = 10,126.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.