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Finding the Fourth Proportional to 6,355.58, 9,533.63 and 2,406.44

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Solution

The fourth proportional to 6,355.58, 9,533.63 and 2,406.44 is: 3,609.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.58 : 9,533.63 = 2,406.44 : x
  2. Step 2: Convert to fraction form
    6,355.58/9,533.63 = 2,406.44/x
  3. Step 3: Cross multiply
    6,355.58x = 9,533.63 × 2,406.44
  4. Step 4: Simplify right side
    6,355.58x = 22,942,048.88
  5. Step 5: Solve for x
    x = 22,942,048.88/6,355.58
  6. Step 6: Final answer
    x = 3,609.75

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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.