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Finding the Fourth Proportional to 12,209.64, 18,318.08 and 6,370.32

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Solution

The fourth proportional to 12,209.64, 18,318.08 and 6,370.32 is: 9,557.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,209.64 : 18,318.08 = 6,370.32 : x
  2. Step 2: Convert to fraction form
    12,209.64/18,318.08 = 6,370.32/x
  3. Step 3: Cross multiply
    12,209.64x = 18,318.08 × 6,370.32
  4. Step 4: Simplify right side
    12,209.64x = 116,692,031.39
  5. Step 5: Solve for x
    x = 116,692,031.39/12,209.64
  6. Step 6: Final answer
    x = 9,557.37

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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.