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Finding the Fourth Proportional to 9,762.26, 13,471.95 and 5,286.06

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Solution

The fourth proportional to 9,762.26, 13,471.95 and 5,286.06 is: 7,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.26 : 13,471.95 = 5,286.06 : x
  2. Step 2: Convert to fraction form
    9,762.26/13,471.95 = 5,286.06/x
  3. Step 3: Cross multiply
    9,762.26x = 13,471.95 × 5,286.06
  4. Step 4: Simplify right side
    9,762.26x = 71,213,536.02
  5. Step 5: Solve for x
    x = 71,213,536.02/9,762.26
  6. Step 6: Final answer
    x = 7,294.78

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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.