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Finding the Fourth Proportional to 9,252.30, 12,768.65 and 5,477.64

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Solution

The fourth proportional to 9,252.30, 12,768.65 and 5,477.64 is: 7,559.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,252.30 : 12,768.65 = 5,477.64 : x
  2. Step 2: Convert to fraction form
    9,252.30/12,768.65 = 5,477.64/x
  3. Step 3: Cross multiply
    9,252.30x = 12,768.65 × 5,477.64
  4. Step 4: Simplify right side
    9,252.30x = 69,942,067.99
  5. Step 5: Solve for x
    x = 69,942,067.99/9,252.30
  6. Step 6: Final answer
    x = 7,559.43

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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.