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Finding the Fourth Proportional to 9,763.43, 13,473.36 and 5,287.14

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Solution

The fourth proportional to 9,763.43, 13,473.36 and 5,287.14 is: 7,296.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,763.43 : 13,473.36 = 5,287.14 : x
  2. Step 2: Convert to fraction form
    9,763.43/13,473.36 = 5,287.14/x
  3. Step 3: Cross multiply
    9,763.43x = 13,473.36 × 5,287.14
  4. Step 4: Simplify right side
    9,763.43x = 71,235,540.59
  5. Step 5: Solve for x
    x = 71,235,540.59/9,763.43
  6. Step 6: Final answer
    x = 7,296.16

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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.