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Finding the Fourth Proportional to 9,841.17, 13,580.28 and 5,649.42

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Solution

The fourth proportional to 9,841.17, 13,580.28 and 5,649.42 is: 7,795.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,841.17 : 13,580.28 = 5,649.42 : x
  2. Step 2: Convert to fraction form
    9,841.17/13,580.28 = 5,649.42/x
  3. Step 3: Cross multiply
    9,841.17x = 13,580.28 × 5,649.42
  4. Step 4: Simplify right side
    9,841.17x = 76,720,705.44
  5. Step 5: Solve for x
    x = 76,720,705.44/9,841.17
  6. Step 6: Final answer
    x = 7,795.89

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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.