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Finding the Fourth Proportional to 9,625.49, 13,279.30 and 5,847.24

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Solution

The fourth proportional to 9,625.49, 13,279.30 and 5,847.24 is: 8,066.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.49 : 13,279.30 = 5,847.24 : x
  2. Step 2: Convert to fraction form
    9,625.49/13,279.30 = 5,847.24/x
  3. Step 3: Cross multiply
    9,625.49x = 13,279.30 × 5,847.24
  4. Step 4: Simplify right side
    9,625.49x = 77,647,254.13
  5. Step 5: Solve for x
    x = 77,647,254.13/9,625.49
  6. Step 6: Final answer
    x = 8,066.84

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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.