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Finding the Fourth Proportional to 6,165.47, 9,249.58 and 1,783.26

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Solution

The fourth proportional to 6,165.47, 9,249.58 and 1,783.26 is: 2,675.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.47 : 9,249.58 = 1,783.26 : x
  2. Step 2: Convert to fraction form
    6,165.47/9,249.58 = 1,783.26/x
  3. Step 3: Cross multiply
    6,165.47x = 9,249.58 × 1,783.26
  4. Step 4: Simplify right side
    6,165.47x = 16,494,429.15
  5. Step 5: Solve for x
    x = 16,494,429.15/6,165.47
  6. Step 6: Final answer
    x = 2,675.29

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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.