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Finding the Fourth Proportional to 9,703.28, 13,393.38 and 8,391.08

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Solution

The fourth proportional to 9,703.28, 13,393.38 and 8,391.08 is: 11,582.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.28 : 13,393.38 = 8,391.08 : x
  2. Step 2: Convert to fraction form
    9,703.28/13,393.38 = 8,391.08/x
  3. Step 3: Cross multiply
    9,703.28x = 13,393.38 × 8,391.08
  4. Step 4: Simplify right side
    9,703.28x = 112,384,923.05
  5. Step 5: Solve for x
    x = 112,384,923.05/9,703.28
  6. Step 6: Final answer
    x = 11,582.16

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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.