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Finding the Fourth Proportional to 7,097.27, 9,794.23 and 4,114.84

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Solution

The fourth proportional to 7,097.27, 9,794.23 and 4,114.84 is: 5,678.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.27 : 9,794.23 = 4,114.84 : x
  2. Step 2: Convert to fraction form
    7,097.27/9,794.23 = 4,114.84/x
  3. Step 3: Cross multiply
    7,097.27x = 9,794.23 × 4,114.84
  4. Step 4: Simplify right side
    7,097.27x = 40,301,689.37
  5. Step 5: Solve for x
    x = 40,301,689.37/7,097.27
  6. Step 6: Final answer
    x = 5,678.48

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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.