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Finding the Fourth Proportional to 9,580.82, 13,224.21 and 5,805.14

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Solution

The fourth proportional to 9,580.82, 13,224.21 and 5,805.14 is: 8,012.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.82 : 13,224.21 = 5,805.14 : x
  2. Step 2: Convert to fraction form
    9,580.82/13,224.21 = 5,805.14/x
  3. Step 3: Cross multiply
    9,580.82x = 13,224.21 × 5,805.14
  4. Step 4: Simplify right side
    9,580.82x = 76,768,390.44
  5. Step 5: Solve for x
    x = 76,768,390.44/9,580.82
  6. Step 6: Final answer
    x = 8,012.72

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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.