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Finding the Fourth Proportional to 9,085.67, 13,627.49 and 2,511

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Solution

The fourth proportional to 9,085.67, 13,627.49 and 2,511 is: 3,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.67 : 13,627.49 = 2,511 : x
  2. Step 2: Convert to fraction form
    9,085.67/13,627.49 = 2,511/x
  3. Step 3: Cross multiply
    9,085.67x = 13,627.49 × 2,511
  4. Step 4: Simplify right side
    9,085.67x = 34,218,628.96
  5. Step 5: Solve for x
    x = 34,218,628.96/9,085.67
  6. Step 6: Final answer
    x = 3,766.22

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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.