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Finding the Fourth Proportional to 9,314.83, 12,850.83 and 5,333.82

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Solution

The fourth proportional to 9,314.83, 12,850.83 and 5,333.82 is: 7,358.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314.83 : 12,850.83 = 5,333.82 : x
  2. Step 2: Convert to fraction form
    9,314.83/12,850.83 = 5,333.82/x
  3. Step 3: Cross multiply
    9,314.83x = 12,850.83 × 5,333.82
  4. Step 4: Simplify right side
    9,314.83x = 68,544,014.07
  5. Step 5: Solve for x
    x = 68,544,014.07/9,314.83
  6. Step 6: Final answer
    x = 7,358.59

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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.