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Finding the Fourth Proportional to 6,466.33, 9,711.79 and 4,018.25

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Solution

The fourth proportional to 6,466.33, 9,711.79 and 4,018.25 is: 6,035.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.33 : 9,711.79 = 4,018.25 : x
  2. Step 2: Convert to fraction form
    6,466.33/9,711.79 = 4,018.25/x
  3. Step 3: Cross multiply
    6,466.33x = 9,711.79 × 4,018.25
  4. Step 4: Simplify right side
    6,466.33x = 39,024,447.84
  5. Step 5: Solve for x
    x = 39,024,447.84/6,466.33
  6. Step 6: Final answer
    x = 6,035.03

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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.