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Finding the Fourth Proportional to 9,083.80, 13,627.32 and 2,509.84

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Solution

The fourth proportional to 9,083.80, 13,627.32 and 2,509.84 is: 3,765.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.80 : 13,627.32 = 2,509.84 : x
  2. Step 2: Convert to fraction form
    9,083.80/13,627.32 = 2,509.84/x
  3. Step 3: Cross multiply
    9,083.80x = 13,627.32 × 2,509.84
  4. Step 4: Simplify right side
    9,083.80x = 34,202,392.83
  5. Step 5: Solve for x
    x = 34,202,392.83/9,083.80
  6. Step 6: Final answer
    x = 3,765.21

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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.