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Finding the Fourth Proportional to 6,411.66, 9,610.14 and 2,941.62

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Solution

The fourth proportional to 6,411.66, 9,610.14 and 2,941.62 is: 4,409.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.66 : 9,610.14 = 2,941.62 : x
  2. Step 2: Convert to fraction form
    6,411.66/9,610.14 = 2,941.62/x
  3. Step 3: Cross multiply
    6,411.66x = 9,610.14 × 2,941.62
  4. Step 4: Simplify right side
    6,411.66x = 28,269,380.03
  5. Step 5: Solve for x
    x = 28,269,380.03/6,411.66
  6. Step 6: Final answer
    x = 4,409.06

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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.