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Finding the Fourth Proportional to 9,463.60, 14,197.38 and 3,223.12

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Solution

The fourth proportional to 9,463.60, 14,197.38 and 3,223.12 is: 4,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.60 : 14,197.38 = 3,223.12 : x
  2. Step 2: Convert to fraction form
    9,463.60/14,197.38 = 3,223.12/x
  3. Step 3: Cross multiply
    9,463.60x = 14,197.38 × 3,223.12
  4. Step 4: Simplify right side
    9,463.60x = 45,759,859.43
  5. Step 5: Solve for x
    x = 45,759,859.43/9,463.60
  6. Step 6: Final answer
    x = 4,835.35

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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.