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Finding the Fourth Proportional to 6,525.12, 9,775.09 and 3,894.73

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Solution

The fourth proportional to 6,525.12, 9,775.09 and 3,894.73 is: 5,834.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.12 : 9,775.09 = 3,894.73 : x
  2. Step 2: Convert to fraction form
    6,525.12/9,775.09 = 3,894.73/x
  3. Step 3: Cross multiply
    6,525.12x = 9,775.09 × 3,894.73
  4. Step 4: Simplify right side
    6,525.12x = 38,071,267.93
  5. Step 5: Solve for x
    x = 38,071,267.93/6,525.12
  6. Step 6: Final answer
    x = 5,834.57

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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.