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Finding the Fourth Proportional to 6,263.69, 8,644.01 and 3,431.06

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Solution

The fourth proportional to 6,263.69, 8,644.01 and 3,431.06 is: 4,734.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.69 : 8,644.01 = 3,431.06 : x
  2. Step 2: Convert to fraction form
    6,263.69/8,644.01 = 3,431.06/x
  3. Step 3: Cross multiply
    6,263.69x = 8,644.01 × 3,431.06
  4. Step 4: Simplify right side
    6,263.69x = 29,658,086.76
  5. Step 5: Solve for x
    x = 29,658,086.76/6,263.69
  6. Step 6: Final answer
    x = 4,734.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.