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Finding the Fourth Proportional to 9,580.57, 13,221.05 and 5,388.82

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Solution

The fourth proportional to 9,580.57, 13,221.05 and 5,388.82 is: 7,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.57 : 13,221.05 = 5,388.82 : x
  2. Step 2: Convert to fraction form
    9,580.57/13,221.05 = 5,388.82/x
  3. Step 3: Cross multiply
    9,580.57x = 13,221.05 × 5,388.82
  4. Step 4: Simplify right side
    9,580.57x = 71,245,798.66
  5. Step 5: Solve for x
    x = 71,245,798.66/9,580.57
  6. Step 6: Final answer
    x = 7,436.49

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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.