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Finding the Fourth Proportional to 6,421.63, 9,633.06 and 2,525.13

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Solution

The fourth proportional to 6,421.63, 9,633.06 and 2,525.13 is: 3,787.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,421.63 : 9,633.06 = 2,525.13 : x
  2. Step 2: Convert to fraction form
    6,421.63/9,633.06 = 2,525.13/x
  3. Step 3: Cross multiply
    6,421.63x = 9,633.06 × 2,525.13
  4. Step 4: Simplify right side
    6,421.63x = 24,324,728.80
  5. Step 5: Solve for x
    x = 24,324,728.80/6,421.63
  6. Step 6: Final answer
    x = 3,787.94

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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.