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Finding the Fourth Proportional to 6,216.29, 8,574.11 and 4,091.14

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Solution

The fourth proportional to 6,216.29, 8,574.11 and 4,091.14 is: 5,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.29 : 8,574.11 = 4,091.14 : x
  2. Step 2: Convert to fraction form
    6,216.29/8,574.11 = 4,091.14/x
  3. Step 3: Cross multiply
    6,216.29x = 8,574.11 × 4,091.14
  4. Step 4: Simplify right side
    6,216.29x = 35,077,821.06
  5. Step 5: Solve for x
    x = 35,077,821.06/6,216.29
  6. Step 6: Final answer
    x = 5,642.89

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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.