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Finding the Fourth Proportional to 9,580.56, 13,228.20 and 5,859.60

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Solution

The fourth proportional to 9,580.56, 13,228.20 and 5,859.60 is: 8,090.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,580.56 : 13,228.20 = 5,859.60 : x
  2. Step 2: Convert to fraction form
    9,580.56/13,228.20 = 5,859.60/x
  3. Step 3: Cross multiply
    9,580.56x = 13,228.20 × 5,859.60
  4. Step 4: Simplify right side
    9,580.56x = 77,511,960.72
  5. Step 5: Solve for x
    x = 77,511,960.72/9,580.56
  6. Step 6: Final answer
    x = 8,090.55

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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.