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Finding the Fourth Proportional to 9,083.74, 13,625.70 and 2,509.78

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Solution

The fourth proportional to 9,083.74, 13,625.70 and 2,509.78 is: 3,764.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.74 : 13,625.70 = 2,509.78 : x
  2. Step 2: Convert to fraction form
    9,083.74/13,625.70 = 2,509.78/x
  3. Step 3: Cross multiply
    9,083.74x = 13,625.70 × 2,509.78
  4. Step 4: Simplify right side
    9,083.74x = 34,197,509.35
  5. Step 5: Solve for x
    x = 34,197,509.35/9,083.74
  6. Step 6: Final answer
    x = 3,764.69

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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.