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Finding the Fourth Proportional to 38,594.25, 57,891.38 and 9,410.25

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Solution

The fourth proportional to 38,594.25, 57,891.38 and 9,410.25 is: 14,115.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,594.25 : 57,891.38 = 9,410.25 : x
  2. Step 2: Convert to fraction form
    38,594.25/57,891.38 = 9,410.25/x
  3. Step 3: Cross multiply
    38,594.25x = 57,891.38 × 9,410.25
  4. Step 4: Simplify right side
    38,594.25x = 544,772,311.59
  5. Step 5: Solve for x
    x = 544,772,311.59/38,594.25
  6. Step 6: Final answer
    x = 14,115.38

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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.