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Finding the Fourth Proportional to 9,200.48, 13,806.14 and 3,357.44

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Solution

The fourth proportional to 9,200.48, 13,806.14 and 3,357.44 is: 5,038.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.48 : 13,806.14 = 3,357.44 : x
  2. Step 2: Convert to fraction form
    9,200.48/13,806.14 = 3,357.44/x
  3. Step 3: Cross multiply
    9,200.48x = 13,806.14 × 3,357.44
  4. Step 4: Simplify right side
    9,200.48x = 46,353,286.68
  5. Step 5: Solve for x
    x = 46,353,286.68/9,200.48
  6. Step 6: Final answer
    x = 5,038.14

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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.