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Finding the Fourth Proportional to 27,785.32, 41,682.30 and 9,313

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Solution

The fourth proportional to 27,785.32, 41,682.30 and 9,313 is: 13,970.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,785.32 : 41,682.30 = 9,313 : x
  2. Step 2: Convert to fraction form
    27,785.32/41,682.30 = 9,313/x
  3. Step 3: Cross multiply
    27,785.32x = 41,682.30 × 9,313
  4. Step 4: Simplify right side
    27,785.32x = 388,187,259.90
  5. Step 5: Solve for x
    x = 388,187,259.90/27,785.32
  6. Step 6: Final answer
    x = 13,970.95

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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.