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Finding the Fourth Proportional to 6,458.94, 9,689.63 and 3,171.15

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Solution

The fourth proportional to 6,458.94, 9,689.63 and 3,171.15 is: 4,757.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.94 : 9,689.63 = 3,171.15 : x
  2. Step 2: Convert to fraction form
    6,458.94/9,689.63 = 3,171.15/x
  3. Step 3: Cross multiply
    6,458.94x = 9,689.63 × 3,171.15
  4. Step 4: Simplify right side
    6,458.94x = 30,727,254.32
  5. Step 5: Solve for x
    x = 30,727,254.32/6,458.94
  6. Step 6: Final answer
    x = 4,757.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.