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Finding the Fourth Proportional to 6,429.90, 9,643.05 and 2,048.70

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Solution

The fourth proportional to 6,429.90, 9,643.05 and 2,048.70 is: 3,072.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.90 : 9,643.05 = 2,048.70 : x
  2. Step 2: Convert to fraction form
    6,429.90/9,643.05 = 2,048.70/x
  3. Step 3: Cross multiply
    6,429.90x = 9,643.05 × 2,048.70
  4. Step 4: Simplify right side
    6,429.90x = 19,755,716.54
  5. Step 5: Solve for x
    x = 19,755,716.54/6,429.90
  6. Step 6: Final answer
    x = 3,072.48

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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.