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Finding the Fourth Proportional to 27,937.43, 41,907.43 and 9,219.10

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Solution

The fourth proportional to 27,937.43, 41,907.43 and 9,219.10 is: 13,829.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,937.43 : 41,907.43 = 9,219.10 : x
  2. Step 2: Convert to fraction form
    27,937.43/41,907.43 = 9,219.10/x
  3. Step 3: Cross multiply
    27,937.43x = 41,907.43 × 9,219.10
  4. Step 4: Simplify right side
    27,937.43x = 386,348,787.91
  5. Step 5: Solve for x
    x = 386,348,787.91/27,937.43
  6. Step 6: Final answer
    x = 13,829.07

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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.