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Finding the Fourth Proportional to 9,083.79, 13,625.96 and 2,509.97

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Solution

The fourth proportional to 9,083.79, 13,625.96 and 2,509.97 is: 3,765.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.79 : 13,625.96 = 2,509.97 : x
  2. Step 2: Convert to fraction form
    9,083.79/13,625.96 = 2,509.97/x
  3. Step 3: Cross multiply
    9,083.79x = 13,625.96 × 2,509.97
  4. Step 4: Simplify right side
    9,083.79x = 34,200,670.14
  5. Step 5: Solve for x
    x = 34,200,670.14/9,083.79
  6. Step 6: Final answer
    x = 3,765.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.