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Finding the Fourth Proportional to 9,218.84, 13,815.09 and 3,946.55

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Solution

The fourth proportional to 9,218.84, 13,815.09 and 3,946.55 is: 5,914.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.84 : 13,815.09 = 3,946.55 : x
  2. Step 2: Convert to fraction form
    9,218.84/13,815.09 = 3,946.55/x
  3. Step 3: Cross multiply
    9,218.84x = 13,815.09 × 3,946.55
  4. Step 4: Simplify right side
    9,218.84x = 54,521,874.36
  5. Step 5: Solve for x
    x = 54,521,874.36/9,218.84
  6. Step 6: Final answer
    x = 5,914.18

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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.