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Finding the Fourth Proportional to 9,462.54, 14,193.68 and 3,617.78

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Solution

The fourth proportional to 9,462.54, 14,193.68 and 3,617.78 is: 5,426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.54 : 14,193.68 = 3,617.78 : x
  2. Step 2: Convert to fraction form
    9,462.54/14,193.68 = 3,617.78/x
  3. Step 3: Cross multiply
    9,462.54x = 14,193.68 × 3,617.78
  4. Step 4: Simplify right side
    9,462.54x = 51,349,611.63
  5. Step 5: Solve for x
    x = 51,349,611.63/9,462.54
  6. Step 6: Final answer
    x = 5,426.62

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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.