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Finding the Fourth Proportional to 9,580.32, 13,213.34 and 6,224.21

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Solution

The fourth proportional to 9,580.32, 13,213.34 and 6,224.21 is: 8,584.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.32 : 13,213.34 = 6,224.21 : x
  2. Step 2: Convert to fraction form
    9,580.32/13,213.34 = 6,224.21/x
  3. Step 3: Cross multiply
    9,580.32x = 13,213.34 × 6,224.21
  4. Step 4: Simplify right side
    9,580.32x = 82,242,602.96
  5. Step 5: Solve for x
    x = 82,242,602.96/9,580.32
  6. Step 6: Final answer
    x = 8,584.54

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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.