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Finding the Fourth Proportional to 9,333.77, 12,880.82 and 5,797.31

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Solution

The fourth proportional to 9,333.77, 12,880.82 and 5,797.31 is: 8,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,333.77 : 12,880.82 = 5,797.31 : x
  2. Step 2: Convert to fraction form
    9,333.77/12,880.82 = 5,797.31/x
  3. Step 3: Cross multiply
    9,333.77x = 12,880.82 × 5,797.31
  4. Step 4: Simplify right side
    9,333.77x = 74,674,056.68
  5. Step 5: Solve for x
    x = 74,674,056.68/9,333.77
  6. Step 6: Final answer
    x = 8,000.42

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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.