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Finding the Fourth Proportional to 9,762.30, 13,471.81 and 5,286.02

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Solution

The fourth proportional to 9,762.30, 13,471.81 and 5,286.02 is: 7,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.30 : 13,471.81 = 5,286.02 : x
  2. Step 2: Convert to fraction form
    9,762.30/13,471.81 = 5,286.02/x
  3. Step 3: Cross multiply
    9,762.30x = 13,471.81 × 5,286.02
  4. Step 4: Simplify right side
    9,762.30x = 71,212,176.52
  5. Step 5: Solve for x
    x = 71,212,176.52/9,762.30
  6. Step 6: Final answer
    x = 7,294.61

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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.