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Finding the Fourth Proportional to 9,233.70, 13,850.55 and 8,577.60

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Solution

The fourth proportional to 9,233.70, 13,850.55 and 8,577.60 is: 12,866.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.70 : 13,850.55 = 8,577.60 : x
  2. Step 2: Convert to fraction form
    9,233.70/13,850.55 = 8,577.60/x
  3. Step 3: Cross multiply
    9,233.70x = 13,850.55 × 8,577.60
  4. Step 4: Simplify right side
    9,233.70x = 118,804,477.68
  5. Step 5: Solve for x
    x = 118,804,477.68/9,233.70
  6. Step 6: Final answer
    x = 12,866.40

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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.