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Finding the Fourth Proportional to 9,335.12, 13,993.72 and 3,490.16

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Solution

The fourth proportional to 9,335.12, 13,993.72 and 3,490.16 is: 5,231.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,335.12 : 13,993.72 = 3,490.16 : x
  2. Step 2: Convert to fraction form
    9,335.12/13,993.72 = 3,490.16/x
  3. Step 3: Cross multiply
    9,335.12x = 13,993.72 × 3,490.16
  4. Step 4: Simplify right side
    9,335.12x = 48,840,321.80
  5. Step 5: Solve for x
    x = 48,840,321.80/9,335.12
  6. Step 6: Final answer
    x = 5,231.89

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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.