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Finding the Fourth Proportional to 9,816.97, 13,547.11 and 5,568.42

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Solution

The fourth proportional to 9,816.97, 13,547.11 and 5,568.42 is: 7,684.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,816.97 : 13,547.11 = 5,568.42 : x
  2. Step 2: Convert to fraction form
    9,816.97/13,547.11 = 5,568.42/x
  3. Step 3: Cross multiply
    9,816.97x = 13,547.11 × 5,568.42
  4. Step 4: Simplify right side
    9,816.97x = 75,435,998.27
  5. Step 5: Solve for x
    x = 75,435,998.27/9,816.97
  6. Step 6: Final answer
    x = 7,684.24

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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.