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Finding the Fourth Proportional to 9,085.96, 13,604.17 and 4,694.19

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Solution

The fourth proportional to 9,085.96, 13,604.17 and 4,694.19 is: 7,028.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,085.96 : 13,604.17 = 4,694.19 : x
  2. Step 2: Convert to fraction form
    9,085.96/13,604.17 = 4,694.19/x
  3. Step 3: Cross multiply
    9,085.96x = 13,604.17 × 4,694.19
  4. Step 4: Simplify right side
    9,085.96x = 63,860,542.41
  5. Step 5: Solve for x
    x = 63,860,542.41/9,085.96
  6. Step 6: Final answer
    x = 7,028.49

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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.