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Finding the Fourth Proportional to 6,029.04, 9,043.56 and 1,646.64

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Solution

The fourth proportional to 6,029.04, 9,043.56 and 1,646.64 is: 2,469.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.04 : 9,043.56 = 1,646.64 : x
  2. Step 2: Convert to fraction form
    6,029.04/9,043.56 = 1,646.64/x
  3. Step 3: Cross multiply
    6,029.04x = 9,043.56 × 1,646.64
  4. Step 4: Simplify right side
    6,029.04x = 14,891,487.64
  5. Step 5: Solve for x
    x = 14,891,487.64/6,029.04
  6. Step 6: Final answer
    x = 2,469.96

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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.