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Finding the Fourth Proportional to 9,174.92, 13,760.43 and 2,599.34

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Solution

The fourth proportional to 9,174.92, 13,760.43 and 2,599.34 is: 3,898.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.92 : 13,760.43 = 2,599.34 : x
  2. Step 2: Convert to fraction form
    9,174.92/13,760.43 = 2,599.34/x
  3. Step 3: Cross multiply
    9,174.92x = 13,760.43 × 2,599.34
  4. Step 4: Simplify right side
    9,174.92x = 35,767,967.31
  5. Step 5: Solve for x
    x = 35,767,967.31/9,174.92
  6. Step 6: Final answer
    x = 3,898.45

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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.