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Finding the Fourth Proportional to 7,194.88, 9,929.91 and 4,363.36

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Solution

The fourth proportional to 7,194.88, 9,929.91 and 4,363.36 is: 6,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,194.88 : 9,929.91 = 4,363.36 : x
  2. Step 2: Convert to fraction form
    7,194.88/9,929.91 = 4,363.36/x
  3. Step 3: Cross multiply
    7,194.88x = 9,929.91 × 4,363.36
  4. Step 4: Simplify right side
    7,194.88x = 43,327,772.10
  5. Step 5: Solve for x
    x = 43,327,772.10/7,194.88
  6. Step 6: Final answer
    x = 6,022.03

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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.