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Finding the Fourth Proportional to 8,205.42, 11,324.16 and 6,709.14

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Solution

The fourth proportional to 8,205.42, 11,324.16 and 6,709.14 is: 9,259.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,205.42 : 11,324.16 = 6,709.14 : x
  2. Step 2: Convert to fraction form
    8,205.42/11,324.16 = 6,709.14/x
  3. Step 3: Cross multiply
    8,205.42x = 11,324.16 × 6,709.14
  4. Step 4: Simplify right side
    8,205.42x = 75,975,374.82
  5. Step 5: Solve for x
    x = 75,975,374.82/8,205.42
  6. Step 6: Final answer
    x = 9,259.17

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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.