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Finding the Fourth Proportional to 9,841.67, 13,580.97 and 5,649.92

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Solution

The fourth proportional to 9,841.67, 13,580.97 and 5,649.92 is: 7,796.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.67 : 13,580.97 = 5,649.92 : x
  2. Step 2: Convert to fraction form
    9,841.67/13,580.97 = 5,649.92/x
  3. Step 3: Cross multiply
    9,841.67x = 13,580.97 × 5,649.92
  4. Step 4: Simplify right side
    9,841.67x = 76,731,394.02
  5. Step 5: Solve for x
    x = 76,731,394.02/9,841.67
  6. Step 6: Final answer
    x = 7,796.58

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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.