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Finding the Fourth Proportional to 9,962.73, 13,744.22 and 6,130.96

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Solution

The fourth proportional to 9,962.73, 13,744.22 and 6,130.96 is: 8,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.73 : 13,744.22 = 6,130.96 : x
  2. Step 2: Convert to fraction form
    9,962.73/13,744.22 = 6,130.96/x
  3. Step 3: Cross multiply
    9,962.73x = 13,744.22 × 6,130.96
  4. Step 4: Simplify right side
    9,962.73x = 84,265,198.04
  5. Step 5: Solve for x
    x = 84,265,198.04/9,962.73
  6. Step 6: Final answer
    x = 8,458.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.