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Finding the Fourth Proportional to 9,566.75, 13,203.33 and 5,375

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Solution

The fourth proportional to 9,566.75, 13,203.33 and 5,375 is: 7,418.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,566.75 : 13,203.33 = 5,375 : x
  2. Step 2: Convert to fraction form
    9,566.75/13,203.33 = 5,375/x
  3. Step 3: Cross multiply
    9,566.75x = 13,203.33 × 5,375
  4. Step 4: Simplify right side
    9,566.75x = 70,967,898.75
  5. Step 5: Solve for x
    x = 70,967,898.75/9,566.75
  6. Step 6: Final answer
    x = 7,418.18

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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.