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Finding the Fourth Proportional to 9,214.42, 13,824.02 and 2,641.12

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Solution

The fourth proportional to 9,214.42, 13,824.02 and 2,641.12 is: 3,962.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.42 : 13,824.02 = 2,641.12 : x
  2. Step 2: Convert to fraction form
    9,214.42/13,824.02 = 2,641.12/x
  3. Step 3: Cross multiply
    9,214.42x = 13,824.02 × 2,641.12
  4. Step 4: Simplify right side
    9,214.42x = 36,510,895.70
  5. Step 5: Solve for x
    x = 36,510,895.70/9,214.42
  6. Step 6: Final answer
    x = 3,962.37

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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.