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Finding the Fourth Proportional to 6,472.89, 9,706.26 and 2,254.67

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Solution

The fourth proportional to 6,472.89, 9,706.26 and 2,254.67 is: 3,380.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.89 : 9,706.26 = 2,254.67 : x
  2. Step 2: Convert to fraction form
    6,472.89/9,706.26 = 2,254.67/x
  3. Step 3: Cross multiply
    6,472.89x = 9,706.26 × 2,254.67
  4. Step 4: Simplify right side
    6,472.89x = 21,884,376.84
  5. Step 5: Solve for x
    x = 21,884,376.84/6,472.89
  6. Step 6: Final answer
    x = 3,380.93

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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.