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Finding the Fourth Proportional to 9,914.01, 14,860.98 and 6,218.82

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Solution

The fourth proportional to 9,914.01, 14,860.98 and 6,218.82 is: 9,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.01 : 14,860.98 = 6,218.82 : x
  2. Step 2: Convert to fraction form
    9,914.01/14,860.98 = 6,218.82/x
  3. Step 3: Cross multiply
    9,914.01x = 14,860.98 × 6,218.82
  4. Step 4: Simplify right side
    9,914.01x = 92,417,759.64
  5. Step 5: Solve for x
    x = 92,417,759.64/9,914.01
  6. Step 6: Final answer
    x = 9,321.94

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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.