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Finding the Fourth Proportional to 6,261.94, 9,393.20 and 3,486.53

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Solution

The fourth proportional to 6,261.94, 9,393.20 and 3,486.53 is: 5,229.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,261.94 : 9,393.20 = 3,486.53 : x
  2. Step 2: Convert to fraction form
    6,261.94/9,393.20 = 3,486.53/x
  3. Step 3: Cross multiply
    6,261.94x = 9,393.20 × 3,486.53
  4. Step 4: Simplify right side
    6,261.94x = 32,749,635.35
  5. Step 5: Solve for x
    x = 32,749,635.35/6,261.94
  6. Step 6: Final answer
    x = 5,229.95

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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.