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Finding the Fourth Proportional to 7,099.07, 9,796.56 and 4,114.82

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Solution

The fourth proportional to 7,099.07, 9,796.56 and 4,114.82 is: 5,678.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.07 : 9,796.56 = 4,114.82 : x
  2. Step 2: Convert to fraction form
    7,099.07/9,796.56 = 4,114.82/x
  3. Step 3: Cross multiply
    7,099.07x = 9,796.56 × 4,114.82
  4. Step 4: Simplify right side
    7,099.07x = 40,311,032.04
  5. Step 5: Solve for x
    x = 40,311,032.04/7,099.07
  6. Step 6: Final answer
    x = 5,678.36

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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.