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Finding the Fourth Proportional to 6,299.37, 9,446.33 and 1,915.82

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Solution

The fourth proportional to 6,299.37, 9,446.33 and 1,915.82 is: 2,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.37 : 9,446.33 = 1,915.82 : x
  2. Step 2: Convert to fraction form
    6,299.37/9,446.33 = 1,915.82/x
  3. Step 3: Cross multiply
    6,299.37x = 9,446.33 × 1,915.82
  4. Step 4: Simplify right side
    6,299.37x = 18,097,411.13
  5. Step 5: Solve for x
    x = 18,097,411.13/6,299.37
  6. Step 6: Final answer
    x = 2,872.89

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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.