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Finding the Fourth Proportional to 9,950.50, 13,725.98 and 6,218.02

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Solution

The fourth proportional to 9,950.50, 13,725.98 and 6,218.02 is: 8,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.50 : 13,725.98 = 6,218.02 : x
  2. Step 2: Convert to fraction form
    9,950.50/13,725.98 = 6,218.02/x
  3. Step 3: Cross multiply
    9,950.50x = 13,725.98 × 6,218.02
  4. Step 4: Simplify right side
    9,950.50x = 85,348,367.82
  5. Step 5: Solve for x
    x = 85,348,367.82/9,950.50
  6. Step 6: Final answer
    x = 8,577.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.