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Finding the Fourth Proportional to 9,818.28, 14,727.42 and 8,083.26

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Solution

The fourth proportional to 9,818.28, 14,727.42 and 8,083.26 is: 12,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.28 : 14,727.42 = 8,083.26 : x
  2. Step 2: Convert to fraction form
    9,818.28/14,727.42 = 8,083.26/x
  3. Step 3: Cross multiply
    9,818.28x = 14,727.42 × 8,083.26
  4. Step 4: Simplify right side
    9,818.28x = 119,045,564.99
  5. Step 5: Solve for x
    x = 119,045,564.99/9,818.28
  6. Step 6: Final answer
    x = 12,124.89

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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.