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Finding the Fourth Proportional to 6,029.83, 9,043.83 and 1,647.64

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Solution

The fourth proportional to 6,029.83, 9,043.83 and 1,647.64 is: 2,471.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.83 : 9,043.83 = 1,647.64 : x
  2. Step 2: Convert to fraction form
    6,029.83/9,043.83 = 1,647.64/x
  3. Step 3: Cross multiply
    6,029.83x = 9,043.83 × 1,647.64
  4. Step 4: Simplify right side
    6,029.83x = 14,900,976.06
  5. Step 5: Solve for x
    x = 14,900,976.06/6,029.83
  6. Step 6: Final answer
    x = 2,471.21

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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.