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Finding the Fourth Proportional to 9,329.50, 13,994.25 and 6,398.92

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Solution

The fourth proportional to 9,329.50, 13,994.25 and 6,398.92 is: 9,598.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,329.50 : 13,994.25 = 6,398.92 : x
  2. Step 2: Convert to fraction form
    9,329.50/13,994.25 = 6,398.92/x
  3. Step 3: Cross multiply
    9,329.50x = 13,994.25 × 6,398.92
  4. Step 4: Simplify right side
    9,329.50x = 89,548,086.21
  5. Step 5: Solve for x
    x = 89,548,086.21/9,329.50
  6. Step 6: Final answer
    x = 9,598.38

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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.