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Finding the Fourth Proportional to 9,625.82, 13,283.63 and 5,850.20

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Solution

The fourth proportional to 9,625.82, 13,283.63 and 5,850.20 is: 8,073.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.82 : 13,283.63 = 5,850.20 : x
  2. Step 2: Convert to fraction form
    9,625.82/13,283.63 = 5,850.20/x
  3. Step 3: Cross multiply
    9,625.82x = 13,283.63 × 5,850.20
  4. Step 4: Simplify right side
    9,625.82x = 77,711,918.12
  5. Step 5: Solve for x
    x = 77,711,918.12/9,625.82
  6. Step 6: Final answer
    x = 8,073.28

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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.