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Finding the Fourth Proportional to 6,411.90, 9,601.65 and 4,208.70

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Solution

The fourth proportional to 6,411.90, 9,601.65 and 4,208.70 is: 6,302.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.90 : 9,601.65 = 4,208.70 : x
  2. Step 2: Convert to fraction form
    6,411.90/9,601.65 = 4,208.70/x
  3. Step 3: Cross multiply
    6,411.90x = 9,601.65 × 4,208.70
  4. Step 4: Simplify right side
    6,411.90x = 40,410,464.36
  5. Step 5: Solve for x
    x = 40,410,464.36/6,411.90
  6. Step 6: Final answer
    x = 6,302.42

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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.