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Finding the Fourth Proportional to 9,599.14, 13,220.32 and 8,272.36

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Solution

The fourth proportional to 9,599.14, 13,220.32 and 8,272.36 is: 11,393.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,599.14 : 13,220.32 = 8,272.36 : x
  2. Step 2: Convert to fraction form
    9,599.14/13,220.32 = 8,272.36/x
  3. Step 3: Cross multiply
    9,599.14x = 13,220.32 × 8,272.36
  4. Step 4: Simplify right side
    9,599.14x = 109,363,246.36
  5. Step 5: Solve for x
    x = 109,363,246.36/9,599.14
  6. Step 6: Final answer
    x = 11,393.03

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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.