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Finding the Fourth Proportional to 9,335.42, 13,934.83 and 8,228.29

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Solution

The fourth proportional to 9,335.42, 13,934.83 and 8,228.29 is: 12,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.42 : 13,934.83 = 8,228.29 : x
  2. Step 2: Convert to fraction form
    9,335.42/13,934.83 = 8,228.29/x
  3. Step 3: Cross multiply
    9,335.42x = 13,934.83 × 8,228.29
  4. Step 4: Simplify right side
    9,335.42x = 114,659,822.34
  5. Step 5: Solve for x
    x = 114,659,822.34/9,335.42
  6. Step 6: Final answer
    x = 12,282.24

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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.