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Finding the Fourth Proportional to 9,822.28, 14,733.42 and 8,087.26

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Solution

The fourth proportional to 9,822.28, 14,733.42 and 8,087.26 is: 12,130.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,822.28 : 14,733.42 = 8,087.26 : x
  2. Step 2: Convert to fraction form
    9,822.28/14,733.42 = 8,087.26/x
  3. Step 3: Cross multiply
    9,822.28x = 14,733.42 × 8,087.26
  4. Step 4: Simplify right side
    9,822.28x = 119,152,998.23
  5. Step 5: Solve for x
    x = 119,152,998.23/9,822.28
  6. Step 6: Final answer
    x = 12,130.89

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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.