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Finding the Fourth Proportional to 9,462.88, 14,185.49 and 3,218.62

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Solution

The fourth proportional to 9,462.88, 14,185.49 and 3,218.62 is: 4,824.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.88 : 14,185.49 = 3,218.62 : x
  2. Step 2: Convert to fraction form
    9,462.88/14,185.49 = 3,218.62/x
  3. Step 3: Cross multiply
    9,462.88x = 14,185.49 × 3,218.62
  4. Step 4: Simplify right side
    9,462.88x = 45,657,701.82
  5. Step 5: Solve for x
    x = 45,657,701.82/9,462.88
  6. Step 6: Final answer
    x = 4,824.93

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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.