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Finding the Fourth Proportional to 9,286.04, 12,811.94 and 5,697.32

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Solution

The fourth proportional to 9,286.04, 12,811.94 and 5,697.32 is: 7,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.04 : 12,811.94 = 5,697.32 : x
  2. Step 2: Convert to fraction form
    9,286.04/12,811.94 = 5,697.32/x
  3. Step 3: Cross multiply
    9,286.04x = 12,811.94 × 5,697.32
  4. Step 4: Simplify right side
    9,286.04x = 72,993,650.82
  5. Step 5: Solve for x
    x = 72,993,650.82/9,286.04
  6. Step 6: Final answer
    x = 7,860.58

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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.