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Finding the Fourth Proportional to 9,505.60, 14,274.60 and 6,233.20

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Solution

The fourth proportional to 9,505.60, 14,274.60 and 6,233.20 is: 9,360.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505.60 : 14,274.60 = 6,233.20 : x
  2. Step 2: Convert to fraction form
    9,505.60/14,274.60 = 6,233.20/x
  3. Step 3: Cross multiply
    9,505.60x = 14,274.60 × 6,233.20
  4. Step 4: Simplify right side
    9,505.60x = 88,976,436.72
  5. Step 5: Solve for x
    x = 88,976,436.72/9,505.60
  6. Step 6: Final answer
    x = 9,360.42

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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.