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Finding the Fourth Proportional to 9,234.25, 12,738.90 and 6,715.25

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Solution

The fourth proportional to 9,234.25, 12,738.90 and 6,715.25 is: 9,263.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.25 : 12,738.90 = 6,715.25 : x
  2. Step 2: Convert to fraction form
    9,234.25/12,738.90 = 6,715.25/x
  3. Step 3: Cross multiply
    9,234.25x = 12,738.90 × 6,715.25
  4. Step 4: Simplify right side
    9,234.25x = 85,544,898.23
  5. Step 5: Solve for x
    x = 85,544,898.23/9,234.25
  6. Step 6: Final answer
    x = 9,263.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.