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Finding the Fourth Proportional to 9,357.80, 12,913.38 and 5,995.88

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Solution

The fourth proportional to 9,357.80, 12,913.38 and 5,995.88 is: 8,274.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,357.80 : 12,913.38 = 5,995.88 : x
  2. Step 2: Convert to fraction form
    9,357.80/12,913.38 = 5,995.88/x
  3. Step 3: Cross multiply
    9,357.80x = 12,913.38 × 5,995.88
  4. Step 4: Simplify right side
    9,357.80x = 77,427,076.87
  5. Step 5: Solve for x
    x = 77,427,076.87/9,357.80
  6. Step 6: Final answer
    x = 8,274.07

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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.