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Finding the Fourth Proportional to 9,812.25, 14,727.62 and 3,578.29

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Solution

The fourth proportional to 9,812.25, 14,727.62 and 3,578.29 is: 5,370.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,812.25 : 14,727.62 = 3,578.29 : x
  2. Step 2: Convert to fraction form
    9,812.25/14,727.62 = 3,578.29/x
  3. Step 3: Cross multiply
    9,812.25x = 14,727.62 × 3,578.29
  4. Step 4: Simplify right side
    9,812.25x = 52,699,695.37
  5. Step 5: Solve for x
    x = 52,699,695.37/9,812.25
  6. Step 6: Final answer
    x = 5,370.81

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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.