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Finding the Fourth Proportional to 9,763.34, 13,473.34 and 5,286.99

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Solution

The fourth proportional to 9,763.34, 13,473.34 and 5,286.99 is: 7,296.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.34 : 13,473.34 = 5,286.99 : x
  2. Step 2: Convert to fraction form
    9,763.34/13,473.34 = 5,286.99/x
  3. Step 3: Cross multiply
    9,763.34x = 13,473.34 × 5,286.99
  4. Step 4: Simplify right side
    9,763.34x = 71,233,451.15
  5. Step 5: Solve for x
    x = 71,233,451.15/9,763.34
  6. Step 6: Final answer
    x = 7,296.02

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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.