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Finding the Fourth Proportional to 9,221, 13,837.17 and 4,841.60

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Solution

The fourth proportional to 9,221, 13,837.17 and 4,841.60 is: 7,265.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221 : 13,837.17 = 4,841.60 : x
  2. Step 2: Convert to fraction form
    9,221/13,837.17 = 4,841.60/x
  3. Step 3: Cross multiply
    9,221x = 13,837.17 × 4,841.60
  4. Step 4: Simplify right side
    9,221x = 66,994,042.27
  5. Step 5: Solve for x
    x = 66,994,042.27/9,221
  6. Step 6: Final answer
    x = 7,265.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.