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Finding the Fourth Proportional to 6,881.83, 9,460.34 and 5,921.20

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Solution

The fourth proportional to 6,881.83, 9,460.34 and 5,921.20 is: 8,139.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,881.83 : 9,460.34 = 5,921.20 : x
  2. Step 2: Convert to fraction form
    6,881.83/9,460.34 = 5,921.20/x
  3. Step 3: Cross multiply
    6,881.83x = 9,460.34 × 5,921.20
  4. Step 4: Simplify right side
    6,881.83x = 56,016,565.21
  5. Step 5: Solve for x
    x = 56,016,565.21/6,881.83
  6. Step 6: Final answer
    x = 8,139.78

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.