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Finding the Fourth Proportional to 9,366.97, 12,932.45 and 6,011.23

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Solution

The fourth proportional to 9,366.97, 12,932.45 and 6,011.23 is: 8,299.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,366.97 : 12,932.45 = 6,011.23 : x
  2. Step 2: Convert to fraction form
    9,366.97/12,932.45 = 6,011.23/x
  3. Step 3: Cross multiply
    9,366.97x = 12,932.45 × 6,011.23
  4. Step 4: Simplify right side
    9,366.97x = 77,739,901.36
  5. Step 5: Solve for x
    x = 77,739,901.36/9,366.97
  6. Step 6: Final answer
    x = 8,299.36

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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.