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Finding the Fourth Proportional to 27,909.40, 41,864.10 and 9,441.40

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Solution

The fourth proportional to 27,909.40, 41,864.10 and 9,441.40 is: 14,162.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,909.40 : 41,864.10 = 9,441.40 : x
  2. Step 2: Convert to fraction form
    27,909.40/41,864.10 = 9,441.40/x
  3. Step 3: Cross multiply
    27,909.40x = 41,864.10 × 9,441.40
  4. Step 4: Simplify right side
    27,909.40x = 395,255,713.74
  5. Step 5: Solve for x
    x = 395,255,713.74/27,909.40
  6. Step 6: Final answer
    x = 14,162.10

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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.