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Finding the Fourth Proportional to 9,365.85, 12,919.39 and 5,830.20

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Solution

The fourth proportional to 9,365.85, 12,919.39 and 5,830.20 is: 8,042.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.85 : 12,919.39 = 5,830.20 : x
  2. Step 2: Convert to fraction form
    9,365.85/12,919.39 = 5,830.20/x
  3. Step 3: Cross multiply
    9,365.85x = 12,919.39 × 5,830.20
  4. Step 4: Simplify right side
    9,365.85x = 75,322,562.98
  5. Step 5: Solve for x
    x = 75,322,562.98/9,365.85
  6. Step 6: Final answer
    x = 8,042.26

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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.