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Finding the Fourth Proportional to 6,423.77, 9,632.93 and 2,262.77

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Solution

The fourth proportional to 6,423.77, 9,632.93 and 2,262.77 is: 3,393.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423.77 : 9,632.93 = 2,262.77 : x
  2. Step 2: Convert to fraction form
    6,423.77/9,632.93 = 2,262.77/x
  3. Step 3: Cross multiply
    6,423.77x = 9,632.93 × 2,262.77
  4. Step 4: Simplify right side
    6,423.77x = 21,797,056.85
  5. Step 5: Solve for x
    x = 21,797,056.85/6,423.77
  6. Step 6: Final answer
    x = 3,393.19

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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.