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Finding the Fourth Proportional to 9,327.96, 12,865.84 and 6,338.45

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Solution

The fourth proportional to 9,327.96, 12,865.84 and 6,338.45 is: 8,742.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.96 : 12,865.84 = 6,338.45 : x
  2. Step 2: Convert to fraction form
    9,327.96/12,865.84 = 6,338.45/x
  3. Step 3: Cross multiply
    9,327.96x = 12,865.84 × 6,338.45
  4. Step 4: Simplify right side
    9,327.96x = 81,549,499.87
  5. Step 5: Solve for x
    x = 81,549,499.87/9,327.96
  6. Step 6: Final answer
    x = 8,742.48

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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.