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Finding the Fourth Proportional to 6,525.37, 9,782.52 and 2,141.65

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Solution

The fourth proportional to 6,525.37, 9,782.52 and 2,141.65 is: 3,210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,525.37 : 9,782.52 = 2,141.65 : x
  2. Step 2: Convert to fraction form
    6,525.37/9,782.52 = 2,141.65/x
  3. Step 3: Cross multiply
    6,525.37x = 9,782.52 × 2,141.65
  4. Step 4: Simplify right side
    6,525.37x = 20,950,733.96
  5. Step 5: Solve for x
    x = 20,950,733.96/6,525.37
  6. Step 6: Final answer
    x = 3,210.66

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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.