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Finding the Fourth Proportional to 6,469.21, 9,703.74 and 4,561.68

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Solution

The fourth proportional to 6,469.21, 9,703.74 and 4,561.68 is: 6,842.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.21 : 9,703.74 = 4,561.68 : x
  2. Step 2: Convert to fraction form
    6,469.21/9,703.74 = 4,561.68/x
  3. Step 3: Cross multiply
    6,469.21x = 9,703.74 × 4,561.68
  4. Step 4: Simplify right side
    6,469.21x = 44,265,349.53
  5. Step 5: Solve for x
    x = 44,265,349.53/6,469.21
  6. Step 6: Final answer
    x = 6,842.46

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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.