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Finding the Fourth Proportional to 6,299.64, 9,446.58 and 1,915.56

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Solution

The fourth proportional to 6,299.64, 9,446.58 and 1,915.56 is: 2,872.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,299.64 : 9,446.58 = 1,915.56 : x
  2. Step 2: Convert to fraction form
    6,299.64/9,446.58 = 1,915.56/x
  3. Step 3: Cross multiply
    6,299.64x = 9,446.58 × 1,915.56
  4. Step 4: Simplify right side
    6,299.64x = 18,095,490.78
  5. Step 5: Solve for x
    x = 18,095,490.78/6,299.64
  6. Step 6: Final answer
    x = 2,872.46

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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.