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Finding the Fourth Proportional to 7,023.02, 9,691.62 and 3,879.14

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Solution

The fourth proportional to 7,023.02, 9,691.62 and 3,879.14 is: 5,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,023.02 : 9,691.62 = 3,879.14 : x
  2. Step 2: Convert to fraction form
    7,023.02/9,691.62 = 3,879.14/x
  3. Step 3: Cross multiply
    7,023.02x = 9,691.62 × 3,879.14
  4. Step 4: Simplify right side
    7,023.02x = 37,595,150.81
  5. Step 5: Solve for x
    x = 37,595,150.81/7,023.02
  6. Step 6: Final answer
    x = 5,353.13

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Why These Related Problems?

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