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Finding the Fourth Proportional to 6,402.97, 9,602.83 and 2,020.06

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Solution

The fourth proportional to 6,402.97, 9,602.83 and 2,020.06 is: 3,029.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.97 : 9,602.83 = 2,020.06 : x
  2. Step 2: Convert to fraction form
    6,402.97/9,602.83 = 2,020.06/x
  3. Step 3: Cross multiply
    6,402.97x = 9,602.83 × 2,020.06
  4. Step 4: Simplify right side
    6,402.97x = 19,398,292.77
  5. Step 5: Solve for x
    x = 19,398,292.77/6,402.97
  6. Step 6: Final answer
    x = 3,029.58

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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.