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Finding the Fourth Proportional to 9,354.24, 14,034.24 and 4,161.60

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Solution

The fourth proportional to 9,354.24, 14,034.24 and 4,161.60 is: 6,243.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.24 : 14,034.24 = 4,161.60 : x
  2. Step 2: Convert to fraction form
    9,354.24/14,034.24 = 4,161.60/x
  3. Step 3: Cross multiply
    9,354.24x = 14,034.24 × 4,161.60
  4. Step 4: Simplify right side
    9,354.24x = 58,404,893.18
  5. Step 5: Solve for x
    x = 58,404,893.18/9,354.24
  6. Step 6: Final answer
    x = 6,243.68

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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.