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Finding the Fourth Proportional to 6,529.25, 9,773.21 and 4,186.12

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Solution

The fourth proportional to 6,529.25, 9,773.21 and 4,186.12 is: 6,265.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.25 : 9,773.21 = 4,186.12 : x
  2. Step 2: Convert to fraction form
    6,529.25/9,773.21 = 4,186.12/x
  3. Step 3: Cross multiply
    6,529.25x = 9,773.21 × 4,186.12
  4. Step 4: Simplify right side
    6,529.25x = 40,911,829.85
  5. Step 5: Solve for x
    x = 40,911,829.85/6,529.25
  6. Step 6: Final answer
    x = 6,265.93

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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.