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Finding the Fourth Proportional to 9,643.36, 14,467.22 and 3,069.92

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Solution

The fourth proportional to 9,643.36, 14,467.22 and 3,069.92 is: 4,605.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.36 : 14,467.22 = 3,069.92 : x
  2. Step 2: Convert to fraction form
    9,643.36/14,467.22 = 3,069.92/x
  3. Step 3: Cross multiply
    9,643.36x = 14,467.22 × 3,069.92
  4. Step 4: Simplify right side
    9,643.36x = 44,413,208.02
  5. Step 5: Solve for x
    x = 44,413,208.02/9,643.36
  6. Step 6: Final answer
    x = 4,605.57

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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.