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Finding the Fourth Proportional to 8,936.71, 12,334.41 and 5,162.31

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Solution

The fourth proportional to 8,936.71, 12,334.41 and 5,162.31 is: 7,125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,936.71 : 12,334.41 = 5,162.31 : x
  2. Step 2: Convert to fraction form
    8,936.71/12,334.41 = 5,162.31/x
  3. Step 3: Cross multiply
    8,936.71x = 12,334.41 × 5,162.31
  4. Step 4: Simplify right side
    8,936.71x = 63,674,048.09
  5. Step 5: Solve for x
    x = 63,674,048.09/8,936.71
  6. Step 6: Final answer
    x = 7,125.00

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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.