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Finding the Fourth Proportional to 9,694.32, 14,541.57 and 6,234

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Solution

The fourth proportional to 9,694.32, 14,541.57 and 6,234 is: 9,351.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.32 : 14,541.57 = 6,234 : x
  2. Step 2: Convert to fraction form
    9,694.32/14,541.57 = 6,234/x
  3. Step 3: Cross multiply
    9,694.32x = 14,541.57 × 6,234
  4. Step 4: Simplify right side
    9,694.32x = 90,652,147.38
  5. Step 5: Solve for x
    x = 90,652,147.38/9,694.32
  6. Step 6: Final answer
    x = 9,351.06

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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.