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Finding the Fourth Proportional to 6,338.34, 8,746.32 and 3,685.71

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Solution

The fourth proportional to 6,338.34, 8,746.32 and 3,685.71 is: 5,085.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.34 : 8,746.32 = 3,685.71 : x
  2. Step 2: Convert to fraction form
    6,338.34/8,746.32 = 3,685.71/x
  3. Step 3: Cross multiply
    6,338.34x = 8,746.32 × 3,685.71
  4. Step 4: Simplify right side
    6,338.34x = 32,236,399.09
  5. Step 5: Solve for x
    x = 32,236,399.09/6,338.34
  6. Step 6: Final answer
    x = 5,085.94

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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.