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Finding the Fourth Proportional to 9,202.38, 13,800.84 and 3,357.63

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Solution

The fourth proportional to 9,202.38, 13,800.84 and 3,357.63 is: 5,035.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.38 : 13,800.84 = 3,357.63 : x
  2. Step 2: Convert to fraction form
    9,202.38/13,800.84 = 3,357.63/x
  3. Step 3: Cross multiply
    9,202.38x = 13,800.84 × 3,357.63
  4. Step 4: Simplify right side
    9,202.38x = 46,338,114.41
  5. Step 5: Solve for x
    x = 46,338,114.41/9,202.38
  6. Step 6: Final answer
    x = 5,035.45

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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.