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Finding the Fourth Proportional to 9,356.10, 14,042.34 and 5,200.80

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Solution

The fourth proportional to 9,356.10, 14,042.34 and 5,200.80 is: 7,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.10 : 14,042.34 = 5,200.80 : x
  2. Step 2: Convert to fraction form
    9,356.10/14,042.34 = 5,200.80/x
  3. Step 3: Cross multiply
    9,356.10x = 14,042.34 × 5,200.80
  4. Step 4: Simplify right side
    9,356.10x = 73,031,401.87
  5. Step 5: Solve for x
    x = 73,031,401.87/9,356.10
  6. Step 6: Final answer
    x = 7,805.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.