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Finding the Fourth Proportional to 9,855.54, 14,786.31 and 5,911.18

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Solution

The fourth proportional to 9,855.54, 14,786.31 and 5,911.18 is: 8,868.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.54 : 14,786.31 = 5,911.18 : x
  2. Step 2: Convert to fraction form
    9,855.54/14,786.31 = 5,911.18/x
  3. Step 3: Cross multiply
    9,855.54x = 14,786.31 × 5,911.18
  4. Step 4: Simplify right side
    9,855.54x = 87,404,525.15
  5. Step 5: Solve for x
    x = 87,404,525.15/9,855.54
  6. Step 6: Final answer
    x = 8,868.57

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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.