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Finding the Fourth Proportional to 9,865.20, 13,625.53 and 7,855.34

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Solution

The fourth proportional to 9,865.20, 13,625.53 and 7,855.34 is: 10,849.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.20 : 13,625.53 = 7,855.34 : x
  2. Step 2: Convert to fraction form
    9,865.20/13,625.53 = 7,855.34/x
  3. Step 3: Cross multiply
    9,865.20x = 13,625.53 × 7,855.34
  4. Step 4: Simplify right side
    9,865.20x = 107,033,170.83
  5. Step 5: Solve for x
    x = 107,033,170.83/9,865.20
  6. Step 6: Final answer
    x = 10,849.57

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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.