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Finding the Fourth Proportional to 6,359.16, 9,539.83 and 2,410.76

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Solution

The fourth proportional to 6,359.16, 9,539.83 and 2,410.76 is: 3,616.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.16 : 9,539.83 = 2,410.76 : x
  2. Step 2: Convert to fraction form
    6,359.16/9,539.83 = 2,410.76/x
  3. Step 3: Cross multiply
    6,359.16x = 9,539.83 × 2,410.76
  4. Step 4: Simplify right side
    6,359.16x = 22,998,253.87
  5. Step 5: Solve for x
    x = 22,998,253.87/6,359.16
  6. Step 6: Final answer
    x = 3,616.56

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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.