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Finding the Fourth Proportional to 6,891.16, 9,506.16 and 4,239.16

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Solution

The fourth proportional to 6,891.16, 9,506.16 and 4,239.16 is: 5,847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.16 : 9,506.16 = 4,239.16 : x
  2. Step 2: Convert to fraction form
    6,891.16/9,506.16 = 4,239.16/x
  3. Step 3: Cross multiply
    6,891.16x = 9,506.16 × 4,239.16
  4. Step 4: Simplify right side
    6,891.16x = 40,298,133.23
  5. Step 5: Solve for x
    x = 40,298,133.23/6,891.16
  6. Step 6: Final answer
    x = 5,847.80

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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.