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Finding the Fourth Proportional to 6,766.23, 9,332.77 and 4,411.56

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Solution

The fourth proportional to 6,766.23, 9,332.77 and 4,411.56 is: 6,084.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.23 : 9,332.77 = 4,411.56 : x
  2. Step 2: Convert to fraction form
    6,766.23/9,332.77 = 4,411.56/x
  3. Step 3: Cross multiply
    6,766.23x = 9,332.77 × 4,411.56
  4. Step 4: Simplify right side
    6,766.23x = 41,172,107.06
  5. Step 5: Solve for x
    x = 41,172,107.06/6,766.23
  6. Step 6: Final answer
    x = 6,084.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.