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Finding the Fourth Proportional to 27,263.28, 40,895.28 and 9,734.16

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Solution

The fourth proportional to 27,263.28, 40,895.28 and 9,734.16 is: 14,601.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,263.28 : 40,895.28 = 9,734.16 : x
  2. Step 2: Convert to fraction form
    27,263.28/40,895.28 = 9,734.16/x
  3. Step 3: Cross multiply
    27,263.28x = 40,895.28 × 9,734.16
  4. Step 4: Simplify right side
    27,263.28x = 398,081,198.76
  5. Step 5: Solve for x
    x = 398,081,198.76/27,263.28
  6. Step 6: Final answer
    x = 14,601.37

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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.