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Finding the Fourth Proportional to 9,241.17, 13,858.84 and 2,999.74

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Solution

The fourth proportional to 9,241.17, 13,858.84 and 2,999.74 is: 4,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,241.17 : 13,858.84 = 2,999.74 : x
  2. Step 2: Convert to fraction form
    9,241.17/13,858.84 = 2,999.74/x
  3. Step 3: Cross multiply
    9,241.17x = 13,858.84 × 2,999.74
  4. Step 4: Simplify right side
    9,241.17x = 41,572,847.41
  5. Step 5: Solve for x
    x = 41,572,847.41/9,241.17
  6. Step 6: Final answer
    x = 4,498.66

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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.