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Finding the Fourth Proportional to 9,369.60, 14,042.88 and 3,816.96

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Solution

The fourth proportional to 9,369.60, 14,042.88 and 3,816.96 is: 5,720.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.60 : 14,042.88 = 3,816.96 : x
  2. Step 2: Convert to fraction form
    9,369.60/14,042.88 = 3,816.96/x
  3. Step 3: Cross multiply
    9,369.60x = 14,042.88 × 3,816.96
  4. Step 4: Simplify right side
    9,369.60x = 53,601,111.24
  5. Step 5: Solve for x
    x = 53,601,111.24/9,369.60
  6. Step 6: Final answer
    x = 5,720.75

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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.