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Finding the Fourth Proportional to 9,797.71, 14,691.03 and 3,222.13

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Solution

The fourth proportional to 9,797.71, 14,691.03 and 3,222.13 is: 4,831.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.71 : 14,691.03 = 3,222.13 : x
  2. Step 2: Convert to fraction form
    9,797.71/14,691.03 = 3,222.13/x
  3. Step 3: Cross multiply
    9,797.71x = 14,691.03 × 3,222.13
  4. Step 4: Simplify right side
    9,797.71x = 47,336,408.49
  5. Step 5: Solve for x
    x = 47,336,408.49/9,797.71
  6. Step 6: Final answer
    x = 4,831.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.