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Finding the Fourth Proportional to 8,394.39, 12,597.30 and 3,464.01

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Solution

The fourth proportional to 8,394.39, 12,597.30 and 3,464.01 is: 5,198.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,394.39 : 12,597.30 = 3,464.01 : x
  2. Step 2: Convert to fraction form
    8,394.39/12,597.30 = 3,464.01/x
  3. Step 3: Cross multiply
    8,394.39x = 12,597.30 × 3,464.01
  4. Step 4: Simplify right side
    8,394.39x = 43,637,173.17
  5. Step 5: Solve for x
    x = 43,637,173.17/8,394.39
  6. Step 6: Final answer
    x = 5,198.37

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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.