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Finding the Fourth Proportional to 9,841.96, 13,581.83 and 5,365.63

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Solution

The fourth proportional to 9,841.96, 13,581.83 and 5,365.63 is: 7,404.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.96 : 13,581.83 = 5,365.63 : x
  2. Step 2: Convert to fraction form
    9,841.96/13,581.83 = 5,365.63/x
  3. Step 3: Cross multiply
    9,841.96x = 13,581.83 × 5,365.63
  4. Step 4: Simplify right side
    9,841.96x = 72,875,064.65
  5. Step 5: Solve for x
    x = 72,875,064.65/9,841.96
  6. Step 6: Final answer
    x = 7,404.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.