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Finding the Fourth Proportional to 12,206.10, 18,292.95 and 6,361.14

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Solution

The fourth proportional to 12,206.10, 18,292.95 and 6,361.14 is: 9,533.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.10 : 18,292.95 = 6,361.14 : x
  2. Step 2: Convert to fraction form
    12,206.10/18,292.95 = 6,361.14/x
  3. Step 3: Cross multiply
    12,206.10x = 18,292.95 × 6,361.14
  4. Step 4: Simplify right side
    12,206.10x = 116,364,015.96
  5. Step 5: Solve for x
    x = 116,364,015.96/12,206.10
  6. Step 6: Final answer
    x = 9,533.27

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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.