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Finding the Fourth Proportional to 6,020.64, 9,023.64 and 4,262.94

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Solution

The fourth proportional to 6,020.64, 9,023.64 and 4,262.94 is: 6,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,020.64 : 9,023.64 = 4,262.94 : x
  2. Step 2: Convert to fraction form
    6,020.64/9,023.64 = 4,262.94/x
  3. Step 3: Cross multiply
    6,020.64x = 9,023.64 × 4,262.94
  4. Step 4: Simplify right side
    6,020.64x = 38,467,235.90
  5. Step 5: Solve for x
    x = 38,467,235.90/6,020.64
  6. Step 6: Final answer
    x = 6,389.23

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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.