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Finding the Fourth Proportional to 6,345.40, 9,518.04 and 1,961.80

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Solution

The fourth proportional to 6,345.40, 9,518.04 and 1,961.80 is: 2,942.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,345.40 : 9,518.04 = 1,961.80 : x
  2. Step 2: Convert to fraction form
    6,345.40/9,518.04 = 1,961.80/x
  3. Step 3: Cross multiply
    6,345.40x = 9,518.04 × 1,961.80
  4. Step 4: Simplify right side
    6,345.40x = 18,672,490.87
  5. Step 5: Solve for x
    x = 18,672,490.87/6,345.40
  6. Step 6: Final answer
    x = 2,942.68

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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.