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Finding the Fourth Proportional to 9,842.81, 13,583.63 and 5,651.33

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Solution

The fourth proportional to 9,842.81, 13,583.63 and 5,651.33 is: 7,799.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.81 : 13,583.63 = 5,651.33 : x
  2. Step 2: Convert to fraction form
    9,842.81/13,583.63 = 5,651.33/x
  3. Step 3: Cross multiply
    9,842.81x = 13,583.63 × 5,651.33
  4. Step 4: Simplify right side
    9,842.81x = 76,765,581.43
  5. Step 5: Solve for x
    x = 76,765,581.43/9,842.81
  6. Step 6: Final answer
    x = 7,799.15

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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.