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Finding the Fourth Proportional to 9,383.40, 14,057.28 and 7,302.24

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Solution

The fourth proportional to 9,383.40, 14,057.28 and 7,302.24 is: 10,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,383.40 : 14,057.28 = 7,302.24 : x
  2. Step 2: Convert to fraction form
    9,383.40/14,057.28 = 7,302.24/x
  3. Step 3: Cross multiply
    9,383.40x = 14,057.28 × 7,302.24
  4. Step 4: Simplify right side
    9,383.40x = 102,649,632.31
  5. Step 5: Solve for x
    x = 102,649,632.31/9,383.40
  6. Step 6: Final answer
    x = 10,939.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.