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Finding the Fourth Proportional to 9,662.38, 14,499.04 and 4,115.15

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Solution

The fourth proportional to 9,662.38, 14,499.04 and 4,115.15 is: 6,175.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.38 : 14,499.04 = 4,115.15 : x
  2. Step 2: Convert to fraction form
    9,662.38/14,499.04 = 4,115.15/x
  3. Step 3: Cross multiply
    9,662.38x = 14,499.04 × 4,115.15
  4. Step 4: Simplify right side
    9,662.38x = 59,665,641.67
  5. Step 5: Solve for x
    x = 59,665,641.67/9,662.38
  6. Step 6: Final answer
    x = 6,175.05

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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.