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Finding the Fourth Proportional to 9,334.17, 13,932.98 and 8,227.00

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Solution

The fourth proportional to 9,334.17, 13,932.98 and 8,227.00 is: 12,280.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.17 : 13,932.98 = 8,227.00 : x
  2. Step 2: Convert to fraction form
    9,334.17/13,932.98 = 8,227.00/x
  3. Step 3: Cross multiply
    9,334.17x = 13,932.98 × 8,227.00
  4. Step 4: Simplify right side
    9,334.17x = 114,626,633.59
  5. Step 5: Solve for x
    x = 114,626,633.59/9,334.17
  6. Step 6: Final answer
    x = 12,280.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.