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Finding the Fourth Proportional to 6,473.32, 9,708.53 and 2,524.67

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Solution

The fourth proportional to 6,473.32, 9,708.53 and 2,524.67 is: 3,786.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,473.32 : 9,708.53 = 2,524.67 : x
  2. Step 2: Convert to fraction form
    6,473.32/9,708.53 = 2,524.67/x
  3. Step 3: Cross multiply
    6,473.32x = 9,708.53 × 2,524.67
  4. Step 4: Simplify right side
    6,473.32x = 24,510,809.68
  5. Step 5: Solve for x
    x = 24,510,809.68/6,473.32
  6. Step 6: Final answer
    x = 3,786.44

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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.