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Finding the Fourth Proportional to 9,685.91, 14,529.73 and 3,762.66

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Solution

The fourth proportional to 9,685.91, 14,529.73 and 3,762.66 is: 5,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.91 : 14,529.73 = 3,762.66 : x
  2. Step 2: Convert to fraction form
    9,685.91/14,529.73 = 3,762.66/x
  3. Step 3: Cross multiply
    9,685.91x = 14,529.73 × 3,762.66
  4. Step 4: Simplify right side
    9,685.91x = 54,670,361.23
  5. Step 5: Solve for x
    x = 54,670,361.23/9,685.91
  6. Step 6: Final answer
    x = 5,644.32

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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.