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Finding the Fourth Proportional to 6,302.22, 8,696.88 and 3,785.82

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Solution

The fourth proportional to 6,302.22, 8,696.88 and 3,785.82 is: 5,224.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.22 : 8,696.88 = 3,785.82 : x
  2. Step 2: Convert to fraction form
    6,302.22/8,696.88 = 3,785.82/x
  3. Step 3: Cross multiply
    6,302.22x = 8,696.88 × 3,785.82
  4. Step 4: Simplify right side
    6,302.22x = 32,924,822.24
  5. Step 5: Solve for x
    x = 32,924,822.24/6,302.22
  6. Step 6: Final answer
    x = 5,224.32

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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.