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Finding the Fourth Proportional to 9,580.96, 14,362.91 and 3,736.23

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Solution

The fourth proportional to 9,580.96, 14,362.91 and 3,736.23 is: 5,601.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.96 : 14,362.91 = 3,736.23 : x
  2. Step 2: Convert to fraction form
    9,580.96/14,362.91 = 3,736.23/x
  3. Step 3: Cross multiply
    9,580.96x = 14,362.91 × 3,736.23
  4. Step 4: Simplify right side
    9,580.96x = 53,663,135.23
  5. Step 5: Solve for x
    x = 53,663,135.23/9,580.96
  6. Step 6: Final answer
    x = 5,601.02

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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.