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Finding the Fourth Proportional to 6,479.64, 9,708.51 and 5,178.39

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Solution

The fourth proportional to 6,479.64, 9,708.51 and 5,178.39 is: 7,758.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,479.64 : 9,708.51 = 5,178.39 : x
  2. Step 2: Convert to fraction form
    6,479.64/9,708.51 = 5,178.39/x
  3. Step 3: Cross multiply
    6,479.64x = 9,708.51 × 5,178.39
  4. Step 4: Simplify right side
    6,479.64x = 50,274,451.10
  5. Step 5: Solve for x
    x = 50,274,451.10/6,479.64
  6. Step 6: Final answer
    x = 7,758.83

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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.