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Finding the Fourth Proportional to 6,184.92, 9,278.46 and 3,410.40

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Solution

The fourth proportional to 6,184.92, 9,278.46 and 3,410.40 is: 5,116.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.92 : 9,278.46 = 3,410.40 : x
  2. Step 2: Convert to fraction form
    6,184.92/9,278.46 = 3,410.40/x
  3. Step 3: Cross multiply
    6,184.92x = 9,278.46 × 3,410.40
  4. Step 4: Simplify right side
    6,184.92x = 31,643,259.98
  5. Step 5: Solve for x
    x = 31,643,259.98/6,184.92
  6. Step 6: Final answer
    x = 5,116.20

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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.