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Finding the Fourth Proportional to 6,165.63, 9,245.70 and 1,782.05

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Solution

The fourth proportional to 6,165.63, 9,245.70 and 1,782.05 is: 2,672.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,165.63 : 9,245.70 = 1,782.05 : x
  2. Step 2: Convert to fraction form
    6,165.63/9,245.70 = 1,782.05/x
  3. Step 3: Cross multiply
    6,165.63x = 9,245.70 × 1,782.05
  4. Step 4: Simplify right side
    6,165.63x = 16,476,253.46
  5. Step 5: Solve for x
    x = 16,476,253.46/6,165.63
  6. Step 6: Final answer
    x = 2,672.27

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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.