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Finding the Fourth Proportional to 9,761.99, 14,643.64 and 3,838.41

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Solution

The fourth proportional to 9,761.99, 14,643.64 and 3,838.41 is: 5,757.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.99 : 14,643.64 = 3,838.41 : x
  2. Step 2: Convert to fraction form
    9,761.99/14,643.64 = 3,838.41/x
  3. Step 3: Cross multiply
    9,761.99x = 14,643.64 × 3,838.41
  4. Step 4: Simplify right side
    9,761.99x = 56,208,318.60
  5. Step 5: Solve for x
    x = 56,208,318.60/9,761.99
  6. Step 6: Final answer
    x = 5,757.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.