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Finding the Fourth Proportional to 9,498.20, 14,149.78 and 9,071.73

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Solution

The fourth proportional to 9,498.20, 14,149.78 and 9,071.73 is: 13,514.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,498.20 : 14,149.78 = 9,071.73 : x
  2. Step 2: Convert to fraction form
    9,498.20/14,149.78 = 9,071.73/x
  3. Step 3: Cross multiply
    9,498.20x = 14,149.78 × 9,071.73
  4. Step 4: Simplify right side
    9,498.20x = 128,362,961.04
  5. Step 5: Solve for x
    x = 128,362,961.04/9,498.20
  6. Step 6: Final answer
    x = 13,514.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.