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Finding the Fourth Proportional to 27,962.40, 41,944.56 and 9,492

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Solution

The fourth proportional to 27,962.40, 41,944.56 and 9,492 is: 14,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,962.40 : 41,944.56 = 9,492 : x
  2. Step 2: Convert to fraction form
    27,962.40/41,944.56 = 9,492/x
  3. Step 3: Cross multiply
    27,962.40x = 41,944.56 × 9,492
  4. Step 4: Simplify right side
    27,962.40x = 398,137,763.52
  5. Step 5: Solve for x
    x = 398,137,763.52/27,962.40
  6. Step 6: Final answer
    x = 14,238.33

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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.