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Finding the Fourth Proportional to 6,269.38, 9,409.47 and 2,983.30

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Solution

The fourth proportional to 6,269.38, 9,409.47 and 2,983.30 is: 4,477.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.38 : 9,409.47 = 2,983.30 : x
  2. Step 2: Convert to fraction form
    6,269.38/9,409.47 = 2,983.30/x
  3. Step 3: Cross multiply
    6,269.38x = 9,409.47 × 2,983.30
  4. Step 4: Simplify right side
    6,269.38x = 28,071,271.85
  5. Step 5: Solve for x
    x = 28,071,271.85/6,269.38
  6. Step 6: Final answer
    x = 4,477.52

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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.