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Finding the Fourth Proportional to 6,380.78, 9,576.98 and 3,262.94

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Solution

The fourth proportional to 6,380.78, 9,576.98 and 3,262.94 is: 4,897.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.78 : 9,576.98 = 3,262.94 : x
  2. Step 2: Convert to fraction form
    6,380.78/9,576.98 = 3,262.94/x
  3. Step 3: Cross multiply
    6,380.78x = 9,576.98 × 3,262.94
  4. Step 4: Simplify right side
    6,380.78x = 31,249,111.12
  5. Step 5: Solve for x
    x = 31,249,111.12/6,380.78
  6. Step 6: Final answer
    x = 4,897.38

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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.