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Finding the Fourth Proportional to 6,364.98, 9,548.43 and 2,206.02

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Solution

The fourth proportional to 6,364.98, 9,548.43 and 2,206.02 is: 3,309.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.98 : 9,548.43 = 2,206.02 : x
  2. Step 2: Convert to fraction form
    6,364.98/9,548.43 = 2,206.02/x
  3. Step 3: Cross multiply
    6,364.98x = 9,548.43 × 2,206.02
  4. Step 4: Simplify right side
    6,364.98x = 21,064,027.55
  5. Step 5: Solve for x
    x = 21,064,027.55/6,364.98
  6. Step 6: Final answer
    x = 3,309.36

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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.