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Finding the Fourth Proportional to 6,524.46, 9,768.06 and 4,328.82

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Solution

The fourth proportional to 6,524.46, 9,768.06 and 4,328.82 is: 6,480.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.46 : 9,768.06 = 4,328.82 : x
  2. Step 2: Convert to fraction form
    6,524.46/9,768.06 = 4,328.82/x
  3. Step 3: Cross multiply
    6,524.46x = 9,768.06 × 4,328.82
  4. Step 4: Simplify right side
    6,524.46x = 42,284,173.49
  5. Step 5: Solve for x
    x = 42,284,173.49/6,524.46
  6. Step 6: Final answer
    x = 6,480.87

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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.