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Finding the Fourth Proportional to 9,226.36, 13,813.62 and 7,651.72

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Solution

The fourth proportional to 9,226.36, 13,813.62 and 7,651.72 is: 11,456.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,226.36 : 13,813.62 = 7,651.72 : x
  2. Step 2: Convert to fraction form
    9,226.36/13,813.62 = 7,651.72/x
  3. Step 3: Cross multiply
    9,226.36x = 13,813.62 × 7,651.72
  4. Step 4: Simplify right side
    9,226.36x = 105,697,952.43
  5. Step 5: Solve for x
    x = 105,697,952.43/9,226.36
  6. Step 6: Final answer
    x = 11,456.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.