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Finding the Fourth Proportional to 6,684.93, 9,223.67 and 4,326.62

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Solution

The fourth proportional to 6,684.93, 9,223.67 and 4,326.62 is: 5,969.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.93 : 9,223.67 = 4,326.62 : x
  2. Step 2: Convert to fraction form
    6,684.93/9,223.67 = 4,326.62/x
  3. Step 3: Cross multiply
    6,684.93x = 9,223.67 × 4,326.62
  4. Step 4: Simplify right side
    6,684.93x = 39,907,279.79
  5. Step 5: Solve for x
    x = 39,907,279.79/6,684.93
  6. Step 6: Final answer
    x = 5,969.74

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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.