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Finding the Fourth Proportional to 6,863.40, 9,464.37 and 5,871.96

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Solution

The fourth proportional to 6,863.40, 9,464.37 and 5,871.96 is: 8,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.40 : 9,464.37 = 5,871.96 : x
  2. Step 2: Convert to fraction form
    6,863.40/9,464.37 = 5,871.96/x
  3. Step 3: Cross multiply
    6,863.40x = 9,464.37 × 5,871.96
  4. Step 4: Simplify right side
    6,863.40x = 55,574,402.07
  5. Step 5: Solve for x
    x = 55,574,402.07/6,863.40
  6. Step 6: Final answer
    x = 8,097.21

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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.