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Finding the Fourth Proportional to 9,141.20, 13,690.20 and 6,203.60

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Solution

The fourth proportional to 9,141.20, 13,690.20 and 6,203.60 is: 9,290.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.20 : 13,690.20 = 6,203.60 : x
  2. Step 2: Convert to fraction form
    9,141.20/13,690.20 = 6,203.60/x
  3. Step 3: Cross multiply
    9,141.20x = 13,690.20 × 6,203.60
  4. Step 4: Simplify right side
    9,141.20x = 84,928,524.72
  5. Step 5: Solve for x
    x = 84,928,524.72/9,141.20
  6. Step 6: Final answer
    x = 9,290.74

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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.