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Finding the Fourth Proportional to 6,354.95, 9,529.04 and 3,727.58

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Solution

The fourth proportional to 6,354.95, 9,529.04 and 3,727.58 is: 5,589.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.95 : 9,529.04 = 3,727.58 : x
  2. Step 2: Convert to fraction form
    6,354.95/9,529.04 = 3,727.58/x
  3. Step 3: Cross multiply
    6,354.95x = 9,529.04 × 3,727.58
  4. Step 4: Simplify right side
    6,354.95x = 35,520,220.60
  5. Step 5: Solve for x
    x = 35,520,220.60/6,354.95
  6. Step 6: Final answer
    x = 5,589.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.