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Finding the Fourth Proportional to 9,494.66, 14,241.91 and 3,170.02

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Solution

The fourth proportional to 9,494.66, 14,241.91 and 3,170.02 is: 4,755.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.66 : 14,241.91 = 3,170.02 : x
  2. Step 2: Convert to fraction form
    9,494.66/14,241.91 = 3,170.02/x
  3. Step 3: Cross multiply
    9,494.66x = 14,241.91 × 3,170.02
  4. Step 4: Simplify right side
    9,494.66x = 45,147,139.54
  5. Step 5: Solve for x
    x = 45,147,139.54/9,494.66
  6. Step 6: Final answer
    x = 4,755.00

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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.