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Finding the Fourth Proportional to 6,262.63, 9,399.41 and 3,342.98

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Solution

The fourth proportional to 6,262.63, 9,399.41 and 3,342.98 is: 5,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,262.63 : 9,399.41 = 3,342.98 : x
  2. Step 2: Convert to fraction form
    6,262.63/9,399.41 = 3,342.98/x
  3. Step 3: Cross multiply
    6,262.63x = 9,399.41 × 3,342.98
  4. Step 4: Simplify right side
    6,262.63x = 31,422,039.64
  5. Step 5: Solve for x
    x = 31,422,039.64/6,262.63
  6. Step 6: Final answer
    x = 5,017.39

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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.