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Finding the Fourth Proportional to 9,083.12, 13,647.72 and 8,471.60

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Solution

The fourth proportional to 9,083.12, 13,647.72 and 8,471.60 is: 12,728.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.12 : 13,647.72 = 8,471.60 : x
  2. Step 2: Convert to fraction form
    9,083.12/13,647.72 = 8,471.60/x
  3. Step 3: Cross multiply
    9,083.12x = 13,647.72 × 8,471.60
  4. Step 4: Simplify right side
    9,083.12x = 115,618,024.75
  5. Step 5: Solve for x
    x = 115,618,024.75/9,083.12
  6. Step 6: Final answer
    x = 12,728.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.