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Finding the Fourth Proportional to 9,114.60, 13,653.68 and 6,162.15

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Solution

The fourth proportional to 9,114.60, 13,653.68 and 6,162.15 is: 9,230.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.60 : 13,653.68 = 6,162.15 : x
  2. Step 2: Convert to fraction form
    9,114.60/13,653.68 = 6,162.15/x
  3. Step 3: Cross multiply
    9,114.60x = 13,653.68 × 6,162.15
  4. Step 4: Simplify right side
    9,114.60x = 84,135,993.40
  5. Step 5: Solve for x
    x = 84,135,993.40/9,114.60
  6. Step 6: Final answer
    x = 9,230.90

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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.