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Finding the Fourth Proportional to 9,893.27, 14,823.43 and 6,965.42

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Solution

The fourth proportional to 9,893.27, 14,823.43 and 6,965.42 is: 10,436.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.27 : 14,823.43 = 6,965.42 : x
  2. Step 2: Convert to fraction form
    9,893.27/14,823.43 = 6,965.42/x
  3. Step 3: Cross multiply
    9,893.27x = 14,823.43 × 6,965.42
  4. Step 4: Simplify right side
    9,893.27x = 103,251,324.26
  5. Step 5: Solve for x
    x = 103,251,324.26/9,893.27
  6. Step 6: Final answer
    x = 10,436.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.