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Finding the Fourth Proportional to 9,188.67, 13,783.98 and 3,924.21

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Solution

The fourth proportional to 9,188.67, 13,783.98 and 3,924.21 is: 5,886.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.67 : 13,783.98 = 3,924.21 : x
  2. Step 2: Convert to fraction form
    9,188.67/13,783.98 = 3,924.21/x
  3. Step 3: Cross multiply
    9,188.67x = 13,783.98 × 3,924.21
  4. Step 4: Simplify right side
    9,188.67x = 54,091,232.16
  5. Step 5: Solve for x
    x = 54,091,232.16/9,188.67
  6. Step 6: Final answer
    x = 5,886.73

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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.