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Finding the Fourth Proportional to 9,463.36, 14,184.42 and 3,217.54

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Solution

The fourth proportional to 9,463.36, 14,184.42 and 3,217.54 is: 4,822.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.36 : 14,184.42 = 3,217.54 : x
  2. Step 2: Convert to fraction form
    9,463.36/14,184.42 = 3,217.54/x
  3. Step 3: Cross multiply
    9,463.36x = 14,184.42 × 3,217.54
  4. Step 4: Simplify right side
    9,463.36x = 45,638,938.73
  5. Step 5: Solve for x
    x = 45,638,938.73/9,463.36
  6. Step 6: Final answer
    x = 4,822.70

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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.