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Finding the Fourth Proportional to 9,221.50, 13,837.92 and 4,842.10

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Solution

The fourth proportional to 9,221.50, 13,837.92 and 4,842.10 is: 7,266.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.50 : 13,837.92 = 4,842.10 : x
  2. Step 2: Convert to fraction form
    9,221.50/13,837.92 = 4,842.10/x
  3. Step 3: Cross multiply
    9,221.50x = 13,837.92 × 4,842.10
  4. Step 4: Simplify right side
    9,221.50x = 67,004,592.43
  5. Step 5: Solve for x
    x = 67,004,592.43/9,221.50
  6. Step 6: Final answer
    x = 7,266.13

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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.