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Finding the Fourth Proportional to 6,504.90, 9,773.38 and 4,165.92

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Solution

The fourth proportional to 6,504.90, 9,773.38 and 4,165.92 is: 6,259.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.90 : 9,773.38 = 4,165.92 : x
  2. Step 2: Convert to fraction form
    6,504.90/9,773.38 = 4,165.92/x
  3. Step 3: Cross multiply
    6,504.90x = 9,773.38 × 4,165.92
  4. Step 4: Simplify right side
    6,504.90x = 40,715,119.21
  5. Step 5: Solve for x
    x = 40,715,119.21/6,504.90
  6. Step 6: Final answer
    x = 6,259.15

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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.