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Finding the Fourth Proportional to 9,233.28, 13,842 and 6,302.88

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Solution

The fourth proportional to 9,233.28, 13,842 and 6,302.88 is: 9,448.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.28 : 13,842 = 6,302.88 : x
  2. Step 2: Convert to fraction form
    9,233.28/13,842 = 6,302.88/x
  3. Step 3: Cross multiply
    9,233.28x = 13,842 × 6,302.88
  4. Step 4: Simplify right side
    9,233.28x = 87,244,464.96
  5. Step 5: Solve for x
    x = 87,244,464.96/9,233.28
  6. Step 6: Final answer
    x = 9,448.91

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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.