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Finding the Fourth Proportional to 6,522.44, 9,786.30 and 3,235.40

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Solution

The fourth proportional to 6,522.44, 9,786.30 and 3,235.40 is: 4,854.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522.44 : 9,786.30 = 3,235.40 : x
  2. Step 2: Convert to fraction form
    6,522.44/9,786.30 = 3,235.40/x
  3. Step 3: Cross multiply
    6,522.44x = 9,786.30 × 3,235.40
  4. Step 4: Simplify right side
    6,522.44x = 31,662,595.02
  5. Step 5: Solve for x
    x = 31,662,595.02/6,522.44
  6. Step 6: Final answer
    x = 4,854.41

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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.