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Finding the Fourth Proportional to 9,680.84, 14,533.52 and 8,057.24

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Solution

The fourth proportional to 9,680.84, 14,533.52 and 8,057.24 is: 12,096.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,680.84 : 14,533.52 = 8,057.24 : x
  2. Step 2: Convert to fraction form
    9,680.84/14,533.52 = 8,057.24/x
  3. Step 3: Cross multiply
    9,680.84x = 14,533.52 × 8,057.24
  4. Step 4: Simplify right side
    9,680.84x = 117,100,058.68
  5. Step 5: Solve for x
    x = 117,100,058.68/9,680.84
  6. Step 6: Final answer
    x = 12,096.06

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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.