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Finding the Fourth Proportional to 9,822.52, 13,549.26 and 6,284.44

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Solution

The fourth proportional to 9,822.52, 13,549.26 and 6,284.44 is: 8,668.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.52 : 13,549.26 = 6,284.44 : x
  2. Step 2: Convert to fraction form
    9,822.52/13,549.26 = 6,284.44/x
  3. Step 3: Cross multiply
    9,822.52x = 13,549.26 × 6,284.44
  4. Step 4: Simplify right side
    9,822.52x = 85,149,511.51
  5. Step 5: Solve for x
    x = 85,149,511.51/9,822.52
  6. Step 6: Final answer
    x = 8,668.81

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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.