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Finding the Fourth Proportional to 9,864, 14,796.98 and 2,844.18

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Solution

The fourth proportional to 9,864, 14,796.98 and 2,844.18 is: 4,266.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,864 : 14,796.98 = 2,844.18 : x
  2. Step 2: Convert to fraction form
    9,864/14,796.98 = 2,844.18/x
  3. Step 3: Cross multiply
    9,864x = 14,796.98 × 2,844.18
  4. Step 4: Simplify right side
    9,864x = 42,085,274.58
  5. Step 5: Solve for x
    x = 42,085,274.58/9,864
  6. Step 6: Final answer
    x = 4,266.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.