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Finding the Fourth Proportional to 6,364.44, 9,521.82 and 5,625.72

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Solution

The fourth proportional to 6,364.44, 9,521.82 and 5,625.72 is: 8,416.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.44 : 9,521.82 = 5,625.72 : x
  2. Step 2: Convert to fraction form
    6,364.44/9,521.82 = 5,625.72/x
  3. Step 3: Cross multiply
    6,364.44x = 9,521.82 × 5,625.72
  4. Step 4: Simplify right side
    6,364.44x = 53,567,093.21
  5. Step 5: Solve for x
    x = 53,567,093.21/6,364.44
  6. Step 6: Final answer
    x = 8,416.62

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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.