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Finding the Fourth Proportional to 9,331.27, 12,878.06 and 6,969.31

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Solution

The fourth proportional to 9,331.27, 12,878.06 and 6,969.31 is: 9,618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,331.27 : 12,878.06 = 6,969.31 : x
  2. Step 2: Convert to fraction form
    9,331.27/12,878.06 = 6,969.31/x
  3. Step 3: Cross multiply
    9,331.27x = 12,878.06 × 6,969.31
  4. Step 4: Simplify right side
    9,331.27x = 89,751,192.34
  5. Step 5: Solve for x
    x = 89,751,192.34/9,331.27
  6. Step 6: Final answer
    x = 9,618.33

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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.