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Finding the Fourth Proportional to 9,338.80, 12,889.74 and 5,804.68

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Solution

The fourth proportional to 9,338.80, 12,889.74 and 5,804.68 is: 8,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,338.80 : 12,889.74 = 5,804.68 : x
  2. Step 2: Convert to fraction form
    9,338.80/12,889.74 = 5,804.68/x
  3. Step 3: Cross multiply
    9,338.80x = 12,889.74 × 5,804.68
  4. Step 4: Simplify right side
    9,338.80x = 74,820,815.98
  5. Step 5: Solve for x
    x = 74,820,815.98/9,338.80
  6. Step 6: Final answer
    x = 8,011.82

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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.