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Finding the Fourth Proportional to 9,322.38, 12,869.07 and 6,137.34

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Solution

The fourth proportional to 9,322.38, 12,869.07 and 6,137.34 is: 8,472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,322.38 : 12,869.07 = 6,137.34 : x
  2. Step 2: Convert to fraction form
    9,322.38/12,869.07 = 6,137.34/x
  3. Step 3: Cross multiply
    9,322.38x = 12,869.07 × 6,137.34
  4. Step 4: Simplify right side
    9,322.38x = 78,981,858.07
  5. Step 5: Solve for x
    x = 78,981,858.07/9,322.38
  6. Step 6: Final answer
    x = 8,472.28

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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.