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Finding the Fourth Proportional to 9,214.52, 13,813.48 and 3,367.04

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Solution

The fourth proportional to 9,214.52, 13,813.48 and 3,367.04 is: 5,047.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.52 : 13,813.48 = 3,367.04 : x
  2. Step 2: Convert to fraction form
    9,214.52/13,813.48 = 3,367.04/x
  3. Step 3: Cross multiply
    9,214.52x = 13,813.48 × 3,367.04
  4. Step 4: Simplify right side
    9,214.52x = 46,510,539.70
  5. Step 5: Solve for x
    x = 46,510,539.70/9,214.52
  6. Step 6: Final answer
    x = 5,047.53

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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.