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Finding the Fourth Proportional to 9,166.26, 13,747.88 and 2,590.84

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Solution

The fourth proportional to 9,166.26, 13,747.88 and 2,590.84 is: 3,885.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,166.26 : 13,747.88 = 2,590.84 : x
  2. Step 2: Convert to fraction form
    9,166.26/13,747.88 = 2,590.84/x
  3. Step 3: Cross multiply
    9,166.26x = 13,747.88 × 2,590.84
  4. Step 4: Simplify right side
    9,166.26x = 35,618,489.18
  5. Step 5: Solve for x
    x = 35,618,489.18/9,166.26
  6. Step 6: Final answer
    x = 3,885.82

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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.