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Finding the Fourth Proportional to 7,098, 9,796.64 and 4,114.48

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Solution

The fourth proportional to 7,098, 9,796.64 and 4,114.48 is: 5,678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098 : 9,796.64 = 4,114.48 : x
  2. Step 2: Convert to fraction form
    7,098/9,796.64 = 4,114.48/x
  3. Step 3: Cross multiply
    7,098x = 9,796.64 × 4,114.48
  4. Step 4: Simplify right side
    7,098x = 40,308,079.35
  5. Step 5: Solve for x
    x = 40,308,079.35/7,098
  6. Step 6: Final answer
    x = 5,678.79

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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.