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Finding the Fourth Proportional to 6,298.26, 9,447.44 and 1,915.75

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Solution

The fourth proportional to 6,298.26, 9,447.44 and 1,915.75 is: 2,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298.26 : 9,447.44 = 1,915.75 : x
  2. Step 2: Convert to fraction form
    6,298.26/9,447.44 = 1,915.75/x
  3. Step 3: Cross multiply
    6,298.26x = 9,447.44 × 1,915.75
  4. Step 4: Simplify right side
    6,298.26x = 18,098,935.41
  5. Step 5: Solve for x
    x = 18,098,935.41/6,298.26
  6. Step 6: Final answer
    x = 2,873.64

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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.