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Finding the Fourth Proportional to 27,973, 41,965.98 and 9,505

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Solution

The fourth proportional to 27,973, 41,965.98 and 9,505 is: 14,259.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,973 : 41,965.98 = 9,505 : x
  2. Step 2: Convert to fraction form
    27,973/41,965.98 = 9,505/x
  3. Step 3: Cross multiply
    27,973x = 41,965.98 × 9,505
  4. Step 4: Simplify right side
    27,973x = 398,886,639.90
  5. Step 5: Solve for x
    x = 398,886,639.90/27,973
  6. Step 6: Final answer
    x = 14,259.70

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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.