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Finding the Fourth Proportional to 6,459.67, 8,914.26 and 3,772.68

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Solution

The fourth proportional to 6,459.67, 8,914.26 and 3,772.68 is: 5,206.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,459.67 : 8,914.26 = 3,772.68 : x
  2. Step 2: Convert to fraction form
    6,459.67/8,914.26 = 3,772.68/x
  3. Step 3: Cross multiply
    6,459.67x = 8,914.26 × 3,772.68
  4. Step 4: Simplify right side
    6,459.67x = 33,630,650.42
  5. Step 5: Solve for x
    x = 33,630,650.42/6,459.67
  6. Step 6: Final answer
    x = 5,206.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.