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Finding the Fourth Proportional to 8,269.39, 12,381.96 and 6,957.19

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Solution

The fourth proportional to 8,269.39, 12,381.96 and 6,957.19 is: 10,417.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.39 : 12,381.96 = 6,957.19 : x
  2. Step 2: Convert to fraction form
    8,269.39/12,381.96 = 6,957.19/x
  3. Step 3: Cross multiply
    8,269.39x = 12,381.96 × 6,957.19
  4. Step 4: Simplify right side
    8,269.39x = 86,143,648.29
  5. Step 5: Solve for x
    x = 86,143,648.29/8,269.39
  6. Step 6: Final answer
    x = 10,417.17

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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.