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Finding the Fourth Proportional to 9,269.91, 13,822.18 and 8,239.59

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Solution

The fourth proportional to 9,269.91, 13,822.18 and 8,239.59 is: 12,285.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.91 : 13,822.18 = 8,239.59 : x
  2. Step 2: Convert to fraction form
    9,269.91/13,822.18 = 8,239.59/x
  3. Step 3: Cross multiply
    9,269.91x = 13,822.18 × 8,239.59
  4. Step 4: Simplify right side
    9,269.91x = 113,889,075.51
  5. Step 5: Solve for x
    x = 113,889,075.51/9,269.91
  6. Step 6: Final answer
    x = 12,285.89

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.