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Finding the Fourth Proportional to 6,214.08, 8,574.27 and 3,696.81

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Solution

The fourth proportional to 6,214.08, 8,574.27 and 3,696.81 is: 5,100.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,214.08 : 8,574.27 = 3,696.81 : x
  2. Step 2: Convert to fraction form
    6,214.08/8,574.27 = 3,696.81/x
  3. Step 3: Cross multiply
    6,214.08x = 8,574.27 × 3,696.81
  4. Step 4: Simplify right side
    6,214.08x = 31,697,447.08
  5. Step 5: Solve for x
    x = 31,697,447.08/6,214.08
  6. Step 6: Final answer
    x = 5,100.91

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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.