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Finding the Fourth Proportional to 9,385.60, 14,078.40 and 8,233.60

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Solution

The fourth proportional to 9,385.60, 14,078.40 and 8,233.60 is: 12,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.60 : 14,078.40 = 8,233.60 : x
  2. Step 2: Convert to fraction form
    9,385.60/14,078.40 = 8,233.60/x
  3. Step 3: Cross multiply
    9,385.60x = 14,078.40 × 8,233.60
  4. Step 4: Simplify right side
    9,385.60x = 115,915,914.24
  5. Step 5: Solve for x
    x = 115,915,914.24/9,385.60
  6. Step 6: Final answer
    x = 12,350.40

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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.