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Finding the Fourth Proportional to 9,202.44, 13,804.02 and 4,008.36

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Solution

The fourth proportional to 9,202.44, 13,804.02 and 4,008.36 is: 6,012.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.44 : 13,804.02 = 4,008.36 : x
  2. Step 2: Convert to fraction form
    9,202.44/13,804.02 = 4,008.36/x
  3. Step 3: Cross multiply
    9,202.44x = 13,804.02 × 4,008.36
  4. Step 4: Simplify right side
    9,202.44x = 55,331,481.61
  5. Step 5: Solve for x
    x = 55,331,481.61/9,202.44
  6. Step 6: Final answer
    x = 6,012.70

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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.