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Finding the Fourth Proportional to 6,298.60, 9,458.14 and 3,226.60

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Solution

The fourth proportional to 6,298.60, 9,458.14 and 3,226.60 is: 4,845.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.60 : 9,458.14 = 3,226.60 : x
  2. Step 2: Convert to fraction form
    6,298.60/9,458.14 = 3,226.60/x
  3. Step 3: Cross multiply
    6,298.60x = 9,458.14 × 3,226.60
  4. Step 4: Simplify right side
    6,298.60x = 30,517,634.52
  5. Step 5: Solve for x
    x = 30,517,634.52/6,298.60
  6. Step 6: Final answer
    x = 4,845.15

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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.