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Finding the Fourth Proportional to 9,797.56, 14,696.46 and 2,872.20

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Solution

The fourth proportional to 9,797.56, 14,696.46 and 2,872.20 is: 4,308.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.56 : 14,696.46 = 2,872.20 : x
  2. Step 2: Convert to fraction form
    9,797.56/14,696.46 = 2,872.20/x
  3. Step 3: Cross multiply
    9,797.56x = 14,696.46 × 2,872.20
  4. Step 4: Simplify right side
    9,797.56x = 42,211,172.41
  5. Step 5: Solve for x
    x = 42,211,172.41/9,797.56
  6. Step 6: Final answer
    x = 4,308.34

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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.