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Finding the Fourth Proportional to 6,429.35, 9,643.62 and 2,049.95

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Solution

The fourth proportional to 6,429.35, 9,643.62 and 2,049.95 is: 3,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.35 : 9,643.62 = 2,049.95 : x
  2. Step 2: Convert to fraction form
    6,429.35/9,643.62 = 2,049.95/x
  3. Step 3: Cross multiply
    6,429.35x = 9,643.62 × 2,049.95
  4. Step 4: Simplify right side
    6,429.35x = 19,768,938.82
  5. Step 5: Solve for x
    x = 19,768,938.82/6,429.35
  6. Step 6: Final answer
    x = 3,074.80

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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.