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Finding the Fourth Proportional to 9,463.54, 14,195.14 and 3,223.47

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Solution

The fourth proportional to 9,463.54, 14,195.14 and 3,223.47 is: 4,835.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.54 : 14,195.14 = 3,223.47 : x
  2. Step 2: Convert to fraction form
    9,463.54/14,195.14 = 3,223.47/x
  3. Step 3: Cross multiply
    9,463.54x = 14,195.14 × 3,223.47
  4. Step 4: Simplify right side
    9,463.54x = 45,757,607.94
  5. Step 5: Solve for x
    x = 45,757,607.94/9,463.54
  6. Step 6: Final answer
    x = 4,835.15

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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.