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Finding the Fourth Proportional to 9,268.32, 12,793.32 and 7,383.36

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Solution

The fourth proportional to 9,268.32, 12,793.32 and 7,383.36 is: 10,191.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,268.32 : 12,793.32 = 7,383.36 : x
  2. Step 2: Convert to fraction form
    9,268.32/12,793.32 = 7,383.36/x
  3. Step 3: Cross multiply
    9,268.32x = 12,793.32 × 7,383.36
  4. Step 4: Simplify right side
    9,268.32x = 94,457,687.16
  5. Step 5: Solve for x
    x = 94,457,687.16/9,268.32
  6. Step 6: Final answer
    x = 10,191.46

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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.