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Finding the Fourth Proportional to 9,662.75, 14,490.44 and 4,118.69

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Solution

The fourth proportional to 9,662.75, 14,490.44 and 4,118.69 is: 6,176.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.75 : 14,490.44 = 4,118.69 : x
  2. Step 2: Convert to fraction form
    9,662.75/14,490.44 = 4,118.69/x
  3. Step 3: Cross multiply
    9,662.75x = 14,490.44 × 4,118.69
  4. Step 4: Simplify right side
    9,662.75x = 59,681,609.73
  5. Step 5: Solve for x
    x = 59,681,609.73/9,662.75
  6. Step 6: Final answer
    x = 6,176.46

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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.