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Finding the Fourth Proportional to 8,394.24, 11,562.60 and 6,975.36

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Solution

The fourth proportional to 8,394.24, 11,562.60 and 6,975.36 is: 9,608.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.24 : 11,562.60 = 6,975.36 : x
  2. Step 2: Convert to fraction form
    8,394.24/11,562.60 = 6,975.36/x
  3. Step 3: Cross multiply
    8,394.24x = 11,562.60 × 6,975.36
  4. Step 4: Simplify right side
    8,394.24x = 80,653,297.54
  5. Step 5: Solve for x
    x = 80,653,297.54/8,394.24
  6. Step 6: Final answer
    x = 9,608.17

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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.