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Finding the Fourth Proportional to 6,384.34, 9,577.50 and 3,262.64

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Solution

The fourth proportional to 6,384.34, 9,577.50 and 3,262.64 is: 4,894.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.34 : 9,577.50 = 3,262.64 : x
  2. Step 2: Convert to fraction form
    6,384.34/9,577.50 = 3,262.64/x
  3. Step 3: Cross multiply
    6,384.34x = 9,577.50 × 3,262.64
  4. Step 4: Simplify right side
    6,384.34x = 31,247,958.54
  5. Step 5: Solve for x
    x = 31,247,958.54/6,384.34
  6. Step 6: Final answer
    x = 4,894.47

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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.