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Finding the Fourth Proportional to 9,406.98, 14,110.83 and 3,167.24

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Solution

The fourth proportional to 9,406.98, 14,110.83 and 3,167.24 is: 4,750.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,406.98 : 14,110.83 = 3,167.24 : x
  2. Step 2: Convert to fraction form
    9,406.98/14,110.83 = 3,167.24/x
  3. Step 3: Cross multiply
    9,406.98x = 14,110.83 × 3,167.24
  4. Step 4: Simplify right side
    9,406.98x = 44,692,314.66
  5. Step 5: Solve for x
    x = 44,692,314.66/9,406.98
  6. Step 6: Final answer
    x = 4,750.97

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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.