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Finding the Fourth Proportional to 9,922.40, 14,886.08 and 3,684.18

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Solution

The fourth proportional to 9,922.40, 14,886.08 and 3,684.18 is: 5,527.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.40 : 14,886.08 = 3,684.18 : x
  2. Step 2: Convert to fraction form
    9,922.40/14,886.08 = 3,684.18/x
  3. Step 3: Cross multiply
    9,922.40x = 14,886.08 × 3,684.18
  4. Step 4: Simplify right side
    9,922.40x = 54,843,049.43
  5. Step 5: Solve for x
    x = 54,843,049.43/9,922.40
  6. Step 6: Final answer
    x = 5,527.20

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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.