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Finding the Fourth Proportional to 7,102.68, 9,796.46 and 5,213.63

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Solution

The fourth proportional to 7,102.68, 9,796.46 and 5,213.63 is: 7,190.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.68 : 9,796.46 = 5,213.63 : x
  2. Step 2: Convert to fraction form
    7,102.68/9,796.46 = 5,213.63/x
  3. Step 3: Cross multiply
    7,102.68x = 9,796.46 × 5,213.63
  4. Step 4: Simplify right side
    7,102.68x = 51,075,042.70
  5. Step 5: Solve for x
    x = 51,075,042.70/7,102.68
  6. Step 6: Final answer
    x = 7,190.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.