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Finding the Fourth Proportional to 6,528.25, 9,771.71 and 4,185.12

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Solution

The fourth proportional to 6,528.25, 9,771.71 and 4,185.12 is: 6,264.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,528.25 : 9,771.71 = 4,185.12 : x
  2. Step 2: Convert to fraction form
    6,528.25/9,771.71 = 4,185.12/x
  3. Step 3: Cross multiply
    6,528.25x = 9,771.71 × 4,185.12
  4. Step 4: Simplify right side
    6,528.25x = 40,895,778.96
  5. Step 5: Solve for x
    x = 40,895,778.96/6,528.25
  6. Step 6: Final answer
    x = 6,264.44

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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.