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Finding the Fourth Proportional to 6,428.78, 9,652.09 and 3,311.01

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Solution

The fourth proportional to 6,428.78, 9,652.09 and 3,311.01 is: 4,971.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.78 : 9,652.09 = 3,311.01 : x
  2. Step 2: Convert to fraction form
    6,428.78/9,652.09 = 3,311.01/x
  3. Step 3: Cross multiply
    6,428.78x = 9,652.09 × 3,311.01
  4. Step 4: Simplify right side
    6,428.78x = 31,958,166.51
  5. Step 5: Solve for x
    x = 31,958,166.51/6,428.78
  6. Step 6: Final answer
    x = 4,971.11

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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.