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Finding the Fourth Proportional to 9,186.54, 13,780.94 and 2,613.23

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Solution

The fourth proportional to 9,186.54, 13,780.94 and 2,613.23 is: 3,920.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.54 : 13,780.94 = 2,613.23 : x
  2. Step 2: Convert to fraction form
    9,186.54/13,780.94 = 2,613.23/x
  3. Step 3: Cross multiply
    9,186.54x = 13,780.94 × 2,613.23
  4. Step 4: Simplify right side
    9,186.54x = 36,012,787.22
  5. Step 5: Solve for x
    x = 36,012,787.22/9,186.54
  6. Step 6: Final answer
    x = 3,920.17

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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.