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Finding the Fourth Proportional to 9,762.35, 13,471.98 and 5,286.17

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Solution

The fourth proportional to 9,762.35, 13,471.98 and 5,286.17 is: 7,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.35 : 13,471.98 = 5,286.17 : x
  2. Step 2: Convert to fraction form
    9,762.35/13,471.98 = 5,286.17/x
  3. Step 3: Cross multiply
    9,762.35x = 13,471.98 × 5,286.17
  4. Step 4: Simplify right side
    9,762.35x = 71,215,109.16
  5. Step 5: Solve for x
    x = 71,215,109.16/9,762.35
  6. Step 6: Final answer
    x = 7,294.88

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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.