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Finding the Fourth Proportional to 6,411, 9,601.02 and 3,115.96

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Solution

The fourth proportional to 6,411, 9,601.02 and 3,115.96 is: 4,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411 : 9,601.02 = 3,115.96 : x
  2. Step 2: Convert to fraction form
    6,411/9,601.02 = 3,115.96/x
  3. Step 3: Cross multiply
    6,411x = 9,601.02 × 3,115.96
  4. Step 4: Simplify right side
    6,411x = 29,916,394.28
  5. Step 5: Solve for x
    x = 29,916,394.28/6,411
  6. Step 6: Final answer
    x = 4,666.42

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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.