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Finding the Fourth Proportional to 9,476.52, 14,215.44 and 2,902.20

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Solution

The fourth proportional to 9,476.52, 14,215.44 and 2,902.20 is: 4,353.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.52 : 14,215.44 = 2,902.20 : x
  2. Step 2: Convert to fraction form
    9,476.52/14,215.44 = 2,902.20/x
  3. Step 3: Cross multiply
    9,476.52x = 14,215.44 × 2,902.20
  4. Step 4: Simplify right side
    9,476.52x = 41,256,049.97
  5. Step 5: Solve for x
    x = 41,256,049.97/9,476.52
  6. Step 6: Final answer
    x = 4,353.50

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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.