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Finding the Fourth Proportional to 6,429.86, 9,644.37 and 2,050.46

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Solution

The fourth proportional to 6,429.86, 9,644.37 and 2,050.46 is: 3,075.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.86 : 9,644.37 = 2,050.46 : x
  2. Step 2: Convert to fraction form
    6,429.86/9,644.37 = 2,050.46/x
  3. Step 3: Cross multiply
    6,429.86x = 9,644.37 × 2,050.46
  4. Step 4: Simplify right side
    6,429.86x = 19,775,394.91
  5. Step 5: Solve for x
    x = 19,775,394.91/6,429.86
  6. Step 6: Final answer
    x = 3,075.56

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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.