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Finding the Fourth Proportional to 9,964.88, 13,756.20 and 5,772.32

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Solution

The fourth proportional to 9,964.88, 13,756.20 and 5,772.32 is: 7,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,964.88 : 13,756.20 = 5,772.32 : x
  2. Step 2: Convert to fraction form
    9,964.88/13,756.20 = 5,772.32/x
  3. Step 3: Cross multiply
    9,964.88x = 13,756.20 × 5,772.32
  4. Step 4: Simplify right side
    9,964.88x = 79,405,188.38
  5. Step 5: Solve for x
    x = 79,405,188.38/9,964.88
  6. Step 6: Final answer
    x = 7,968.50

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Why These Related Problems?

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