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Finding the Fourth Proportional to 9,083.61, 13,625.42 and 2,509.83

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Solution

The fourth proportional to 9,083.61, 13,625.42 and 2,509.83 is: 3,764.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.61 : 13,625.42 = 2,509.83 : x
  2. Step 2: Convert to fraction form
    9,083.61/13,625.42 = 2,509.83/x
  3. Step 3: Cross multiply
    9,083.61x = 13,625.42 × 2,509.83
  4. Step 4: Simplify right side
    9,083.61x = 34,197,475.33
  5. Step 5: Solve for x
    x = 34,197,475.33/9,083.61
  6. Step 6: Final answer
    x = 3,764.75

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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.