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Finding the Fourth Proportional to 6,214.11, 8,575.16 and 3,696.18

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Solution

The fourth proportional to 6,214.11, 8,575.16 and 3,696.18 is: 5,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.11 : 8,575.16 = 3,696.18 : x
  2. Step 2: Convert to fraction form
    6,214.11/8,575.16 = 3,696.18/x
  3. Step 3: Cross multiply
    6,214.11x = 8,575.16 × 3,696.18
  4. Step 4: Simplify right side
    6,214.11x = 31,695,316.41
  5. Step 5: Solve for x
    x = 31,695,316.41/6,214.11
  6. Step 6: Final answer
    x = 5,100.54

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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.