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Finding the Fourth Proportional to 6,442.96, 9,665.96 and 2,000.40

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Solution

The fourth proportional to 6,442.96, 9,665.96 and 2,000.40 is: 3,001.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.96 : 9,665.96 = 2,000.40 : x
  2. Step 2: Convert to fraction form
    6,442.96/9,665.96 = 2,000.40/x
  3. Step 3: Cross multiply
    6,442.96x = 9,665.96 × 2,000.40
  4. Step 4: Simplify right side
    6,442.96x = 19,335,786.38
  5. Step 5: Solve for x
    x = 19,335,786.38/6,442.96
  6. Step 6: Final answer
    x = 3,001.07

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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.