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Finding the Fourth Proportional to 9,940.88, 13,722.36 and 6,164.84

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Solution

The fourth proportional to 9,940.88, 13,722.36 and 6,164.84 is: 8,509.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.88 : 13,722.36 = 6,164.84 : x
  2. Step 2: Convert to fraction form
    9,940.88/13,722.36 = 6,164.84/x
  3. Step 3: Cross multiply
    9,940.88x = 13,722.36 × 6,164.84
  4. Step 4: Simplify right side
    9,940.88x = 84,596,153.82
  5. Step 5: Solve for x
    x = 84,596,153.82/9,940.88
  6. Step 6: Final answer
    x = 8,509.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.