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Finding the Fourth Proportional to 9,203.74, 12,633.05 and 8,711.68

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Solution

The fourth proportional to 9,203.74, 12,633.05 and 8,711.68 is: 11,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.74 : 12,633.05 = 8,711.68 : x
  2. Step 2: Convert to fraction form
    9,203.74/12,633.05 = 8,711.68/x
  3. Step 3: Cross multiply
    9,203.74x = 12,633.05 × 8,711.68
  4. Step 4: Simplify right side
    9,203.74x = 110,055,089.02
  5. Step 5: Solve for x
    x = 110,055,089.02/9,203.74
  6. Step 6: Final answer
    x = 11,957.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.