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Finding the Fourth Proportional to 9,967, 14,955.96 and 4,772.88

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Solution

The fourth proportional to 9,967, 14,955.96 and 4,772.88 is: 7,161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,967 : 14,955.96 = 4,772.88 : x
  2. Step 2: Convert to fraction form
    9,967/14,955.96 = 4,772.88/x
  3. Step 3: Cross multiply
    9,967x = 14,955.96 × 4,772.88
  4. Step 4: Simplify right side
    9,967x = 71,383,002.36
  5. Step 5: Solve for x
    x = 71,383,002.36/9,967
  6. Step 6: Final answer
    x = 7,161.93

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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.