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Finding the Fourth Proportional to 9,709.05, 13,399.95 and 5,934.39

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Solution

The fourth proportional to 9,709.05, 13,399.95 and 5,934.39 is: 8,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.05 : 13,399.95 = 5,934.39 : x
  2. Step 2: Convert to fraction form
    9,709.05/13,399.95 = 5,934.39/x
  3. Step 3: Cross multiply
    9,709.05x = 13,399.95 × 5,934.39
  4. Step 4: Simplify right side
    9,709.05x = 79,520,529.28
  5. Step 5: Solve for x
    x = 79,520,529.28/9,709.05
  6. Step 6: Final answer
    x = 8,190.35

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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.