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Finding the Fourth Proportional to 6,325.56, 9,488.34 and 3,205.08

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Solution

The fourth proportional to 6,325.56, 9,488.34 and 3,205.08 is: 4,807.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.56 : 9,488.34 = 3,205.08 : x
  2. Step 2: Convert to fraction form
    6,325.56/9,488.34 = 3,205.08/x
  3. Step 3: Cross multiply
    6,325.56x = 9,488.34 × 3,205.08
  4. Step 4: Simplify right side
    6,325.56x = 30,410,888.77
  5. Step 5: Solve for x
    x = 30,410,888.77/6,325.56
  6. Step 6: Final answer
    x = 4,807.62

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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.