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Finding the Fourth Proportional to 9,229, 13,846.76 and 4,035.28

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Solution

The fourth proportional to 9,229, 13,846.76 and 4,035.28 is: 6,054.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,229 : 13,846.76 = 4,035.28 : x
  2. Step 2: Convert to fraction form
    9,229/13,846.76 = 4,035.28/x
  3. Step 3: Cross multiply
    9,229x = 13,846.76 × 4,035.28
  4. Step 4: Simplify right side
    9,229x = 55,875,553.69
  5. Step 5: Solve for x
    x = 55,875,553.69/9,229
  6. Step 6: Final answer
    x = 6,054.35

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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.