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Finding the Fourth Proportional to 6,521.65, 9,782.46 and 2,361.64

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Solution

The fourth proportional to 6,521.65, 9,782.46 and 2,361.64 is: 3,542.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,521.65 : 9,782.46 = 2,361.64 : x
  2. Step 2: Convert to fraction form
    6,521.65/9,782.46 = 2,361.64/x
  3. Step 3: Cross multiply
    6,521.65x = 9,782.46 × 2,361.64
  4. Step 4: Simplify right side
    6,521.65x = 23,102,648.83
  5. Step 5: Solve for x
    x = 23,102,648.83/6,521.65
  6. Step 6: Final answer
    x = 3,542.45

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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.