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Finding the Fourth Proportional to 9,023.96, 12,453.54 and 5,486.60

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Solution

The fourth proportional to 9,023.96, 12,453.54 and 5,486.60 is: 7,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,023.96 : 12,453.54 = 5,486.60 : x
  2. Step 2: Convert to fraction form
    9,023.96/12,453.54 = 5,486.60/x
  3. Step 3: Cross multiply
    9,023.96x = 12,453.54 × 5,486.60
  4. Step 4: Simplify right side
    9,023.96x = 68,327,592.56
  5. Step 5: Solve for x
    x = 68,327,592.56/9,023.96
  6. Step 6: Final answer
    x = 7,571.80

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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.