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Finding the Fourth Proportional to 6,524.40, 9,782.94 and 2,624.24

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Solution

The fourth proportional to 6,524.40, 9,782.94 and 2,624.24 is: 3,934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,524.40 : 9,782.94 = 2,624.24 : x
  2. Step 2: Convert to fraction form
    6,524.40/9,782.94 = 2,624.24/x
  3. Step 3: Cross multiply
    6,524.40x = 9,782.94 × 2,624.24
  4. Step 4: Simplify right side
    6,524.40x = 25,672,782.47
  5. Step 5: Solve for x
    x = 25,672,782.47/6,524.40
  6. Step 6: Final answer
    x = 3,934.89

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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.