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Finding the Fourth Proportional to 9,732.94, 13,426.14 and 8,471.77

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Solution

The fourth proportional to 9,732.94, 13,426.14 and 8,471.77 is: 11,686.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.94 : 13,426.14 = 8,471.77 : x
  2. Step 2: Convert to fraction form
    9,732.94/13,426.14 = 8,471.77/x
  3. Step 3: Cross multiply
    9,732.94x = 13,426.14 × 8,471.77
  4. Step 4: Simplify right side
    9,732.94x = 113,743,170.07
  5. Step 5: Solve for x
    x = 113,743,170.07/9,732.94
  6. Step 6: Final answer
    x = 11,686.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.