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Finding the Fourth Proportional to 25,129.34, 37,694.31 and 6,409.34

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Solution

The fourth proportional to 25,129.34, 37,694.31 and 6,409.34 is: 9,614.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,129.34 : 37,694.31 = 6,409.34 : x
  2. Step 2: Convert to fraction form
    25,129.34/37,694.31 = 6,409.34/x
  3. Step 3: Cross multiply
    25,129.34x = 37,694.31 × 6,409.34
  4. Step 4: Simplify right side
    25,129.34x = 241,595,719.06
  5. Step 5: Solve for x
    x = 241,595,719.06/25,129.34
  6. Step 6: Final answer
    x = 9,614.09

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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.