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Finding the Fourth Proportional to 8,974.09, 13,458.03 and 3,429.01

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Solution

The fourth proportional to 8,974.09, 13,458.03 and 3,429.01 is: 5,142.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,974.09 : 13,458.03 = 3,429.01 : x
  2. Step 2: Convert to fraction form
    8,974.09/13,458.03 = 3,429.01/x
  3. Step 3: Cross multiply
    8,974.09x = 13,458.03 × 3,429.01
  4. Step 4: Simplify right side
    8,974.09x = 46,147,719.45
  5. Step 5: Solve for x
    x = 46,147,719.45/8,974.09
  6. Step 6: Final answer
    x = 5,142.33

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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.