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Finding the Fourth Proportional to 9,356.28, 12,909.78 and 5,954.66

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Solution

The fourth proportional to 9,356.28, 12,909.78 and 5,954.66 is: 8,216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.28 : 12,909.78 = 5,954.66 : x
  2. Step 2: Convert to fraction form
    9,356.28/12,909.78 = 5,954.66/x
  3. Step 3: Cross multiply
    9,356.28x = 12,909.78 × 5,954.66
  4. Step 4: Simplify right side
    9,356.28x = 76,873,407.06
  5. Step 5: Solve for x
    x = 76,873,407.06/9,356.28
  6. Step 6: Final answer
    x = 8,216.23

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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.