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Finding the Fourth Proportional to 6,293.09, 8,684.32 and 3,421.76

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Solution

The fourth proportional to 6,293.09, 8,684.32 and 3,421.76 is: 4,721.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.09 : 8,684.32 = 3,421.76 : x
  2. Step 2: Convert to fraction form
    6,293.09/8,684.32 = 3,421.76/x
  3. Step 3: Cross multiply
    6,293.09x = 8,684.32 × 3,421.76
  4. Step 4: Simplify right side
    6,293.09x = 29,715,632.58
  5. Step 5: Solve for x
    x = 29,715,632.58/6,293.09
  6. Step 6: Final answer
    x = 4,721.95

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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.