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Finding the Fourth Proportional to 6,684.93, 9,220.64 and 4,585.41

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Solution

The fourth proportional to 6,684.93, 9,220.64 and 4,585.41 is: 6,324.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.93 : 9,220.64 = 4,585.41 : x
  2. Step 2: Convert to fraction form
    6,684.93/9,220.64 = 4,585.41/x
  3. Step 3: Cross multiply
    6,684.93x = 9,220.64 × 4,585.41
  4. Step 4: Simplify right side
    6,684.93x = 42,280,391.94
  5. Step 5: Solve for x
    x = 42,280,391.94/6,684.93
  6. Step 6: Final answer
    x = 6,324.73

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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.