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Finding the Fourth Proportional to 9,578.46, 13,220.09 and 5,995.08

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Solution

The fourth proportional to 9,578.46, 13,220.09 and 5,995.08 is: 8,274.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.46 : 13,220.09 = 5,995.08 : x
  2. Step 2: Convert to fraction form
    9,578.46/13,220.09 = 5,995.08/x
  3. Step 3: Cross multiply
    9,578.46x = 13,220.09 × 5,995.08
  4. Step 4: Simplify right side
    9,578.46x = 79,255,401.08
  5. Step 5: Solve for x
    x = 79,255,401.08/9,578.46
  6. Step 6: Final answer
    x = 8,274.34

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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.