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Finding the Fourth Proportional to 6,024.46, 9,035.22 and 1,641.94

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Solution

The fourth proportional to 6,024.46, 9,035.22 and 1,641.94 is: 2,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,024.46 : 9,035.22 = 1,641.94 : x
  2. Step 2: Convert to fraction form
    6,024.46/9,035.22 = 1,641.94/x
  3. Step 3: Cross multiply
    6,024.46x = 9,035.22 × 1,641.94
  4. Step 4: Simplify right side
    6,024.46x = 14,835,289.13
  5. Step 5: Solve for x
    x = 14,835,289.13/6,024.46
  6. Step 6: Final answer
    x = 2,462.51

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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.