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Finding the Fourth Proportional to 27,313.46, 40,936.15 and 9,764.00

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Solution

The fourth proportional to 27,313.46, 40,936.15 and 9,764.00 is: 14,633.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,313.46 : 40,936.15 = 9,764.00 : x
  2. Step 2: Convert to fraction form
    27,313.46/40,936.15 = 9,764.00/x
  3. Step 3: Cross multiply
    27,313.46x = 40,936.15 × 9,764.00
  4. Step 4: Simplify right side
    27,313.46x = 399,700,315.10
  5. Step 5: Solve for x
    x = 399,700,315.10/27,313.46
  6. Step 6: Final answer
    x = 14,633.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.