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Finding the Fourth Proportional to 6,334.75, 9,502.44 and 4,487.95

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Solution

The fourth proportional to 6,334.75, 9,502.44 and 4,487.95 is: 6,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.75 : 9,502.44 = 4,487.95 : x
  2. Step 2: Convert to fraction form
    6,334.75/9,502.44 = 4,487.95/x
  3. Step 3: Cross multiply
    6,334.75x = 9,502.44 × 4,487.95
  4. Step 4: Simplify right side
    6,334.75x = 42,646,475.60
  5. Step 5: Solve for x
    x = 42,646,475.60/6,334.75
  6. Step 6: Final answer
    x = 6,732.15

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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.