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Finding the Fourth Proportional to 25,914.47, 38,879.91 and 9,274.13

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Solution

The fourth proportional to 25,914.47, 38,879.91 and 9,274.13 is: 13,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,914.47 : 38,879.91 = 9,274.13 : x
  2. Step 2: Convert to fraction form
    25,914.47/38,879.91 = 9,274.13/x
  3. Step 3: Cross multiply
    25,914.47x = 38,879.91 × 9,274.13
  4. Step 4: Simplify right side
    25,914.47x = 360,577,145.33
  5. Step 5: Solve for x
    x = 360,577,145.33/25,914.47
  6. Step 6: Final answer
    x = 13,914.13

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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.