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Finding the Fourth Proportional to 8,972.94, 12,382.54 and 4,994.06

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Solution

The fourth proportional to 8,972.94, 12,382.54 and 4,994.06 is: 6,891.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,972.94 : 12,382.54 = 4,994.06 : x
  2. Step 2: Convert to fraction form
    8,972.94/12,382.54 = 4,994.06/x
  3. Step 3: Cross multiply
    8,972.94x = 12,382.54 × 4,994.06
  4. Step 4: Simplify right side
    8,972.94x = 61,839,073.31
  5. Step 5: Solve for x
    x = 61,839,073.31/8,972.94
  6. Step 6: Final answer
    x = 6,891.73

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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.