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Finding the Fourth Proportional to 9,803.70, 14,705.52 and 3,960.24

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Solution

The fourth proportional to 9,803.70, 14,705.52 and 3,960.24 is: 5,940.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.70 : 14,705.52 = 3,960.24 : x
  2. Step 2: Convert to fraction form
    9,803.70/14,705.52 = 3,960.24/x
  3. Step 3: Cross multiply
    9,803.70x = 14,705.52 × 3,960.24
  4. Step 4: Simplify right side
    9,803.70x = 58,237,388.52
  5. Step 5: Solve for x
    x = 58,237,388.52/9,803.70
  6. Step 6: Final answer
    x = 5,940.35

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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.