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Finding the Fourth Proportional to 6,334.92, 9,504 and 5,113.44

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Solution

The fourth proportional to 6,334.92, 9,504 and 5,113.44 is: 7,671.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.92 : 9,504 = 5,113.44 : x
  2. Step 2: Convert to fraction form
    6,334.92/9,504 = 5,113.44/x
  3. Step 3: Cross multiply
    6,334.92x = 9,504 × 5,113.44
  4. Step 4: Simplify right side
    6,334.92x = 48,598,133.76
  5. Step 5: Solve for x
    x = 48,598,133.76/6,334.92
  6. Step 6: Final answer
    x = 7,671.47

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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.