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Finding the Fourth Proportional to 6,320.08, 9,477 and 1,936.48

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Solution

The fourth proportional to 6,320.08, 9,477 and 1,936.48 is: 2,903.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.08 : 9,477 = 1,936.48 : x
  2. Step 2: Convert to fraction form
    6,320.08/9,477 = 1,936.48/x
  3. Step 3: Cross multiply
    6,320.08x = 9,477 × 1,936.48
  4. Step 4: Simplify right side
    6,320.08x = 18,352,020.96
  5. Step 5: Solve for x
    x = 18,352,020.96/6,320.08
  6. Step 6: Final answer
    x = 2,903.76

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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.