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Finding the Fourth Proportional to 6,414.65, 9,622.95 and 2,716.90

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Solution

The fourth proportional to 6,414.65, 9,622.95 and 2,716.90 is: 4,075.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.65 : 9,622.95 = 2,716.90 : x
  2. Step 2: Convert to fraction form
    6,414.65/9,622.95 = 2,716.90/x
  3. Step 3: Cross multiply
    6,414.65x = 9,622.95 × 2,716.90
  4. Step 4: Simplify right side
    6,414.65x = 26,144,592.86
  5. Step 5: Solve for x
    x = 26,144,592.86/6,414.65
  6. Step 6: Final answer
    x = 4,075.76

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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.