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Finding the Fourth Proportional to 6,443.18, 9,665.01 and 2,001.30

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Solution

The fourth proportional to 6,443.18, 9,665.01 and 2,001.30 is: 3,002.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.18 : 9,665.01 = 2,001.30 : x
  2. Step 2: Convert to fraction form
    6,443.18/9,665.01 = 2,001.30/x
  3. Step 3: Cross multiply
    6,443.18x = 9,665.01 × 2,001.30
  4. Step 4: Simplify right side
    6,443.18x = 19,342,584.51
  5. Step 5: Solve for x
    x = 19,342,584.51/6,443.18
  6. Step 6: Final answer
    x = 3,002.03

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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.