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Finding the Fourth Proportional to 6,403.86, 9,602.28 and 2,020.14

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Solution

The fourth proportional to 6,403.86, 9,602.28 and 2,020.14 is: 3,029.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.86 : 9,602.28 = 2,020.14 : x
  2. Step 2: Convert to fraction form
    6,403.86/9,602.28 = 2,020.14/x
  3. Step 3: Cross multiply
    6,403.86x = 9,602.28 × 2,020.14
  4. Step 4: Simplify right side
    6,403.86x = 19,397,949.92
  5. Step 5: Solve for x
    x = 19,397,949.92/6,403.86
  6. Step 6: Final answer
    x = 3,029.10

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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.