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Finding the Fourth Proportional to 9,826.89, 14,740.43 and 3,982.13

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Solution

The fourth proportional to 9,826.89, 14,740.43 and 3,982.13 is: 5,973.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.89 : 14,740.43 = 3,982.13 : x
  2. Step 2: Convert to fraction form
    9,826.89/14,740.43 = 3,982.13/x
  3. Step 3: Cross multiply
    9,826.89x = 14,740.43 × 3,982.13
  4. Step 4: Simplify right side
    9,826.89x = 58,698,214.90
  5. Step 5: Solve for x
    x = 58,698,214.90/9,826.89
  6. Step 6: Final answer
    x = 5,973.22

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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.