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Finding the Fourth Proportional to 9,914.24, 14,851.53 and 5,963.31

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Solution

The fourth proportional to 9,914.24, 14,851.53 and 5,963.31 is: 8,933.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.24 : 14,851.53 = 5,963.31 : x
  2. Step 2: Convert to fraction form
    9,914.24/14,851.53 = 5,963.31/x
  3. Step 3: Cross multiply
    9,914.24x = 14,851.53 × 5,963.31
  4. Step 4: Simplify right side
    9,914.24x = 88,564,327.52
  5. Step 5: Solve for x
    x = 88,564,327.52/9,914.24
  6. Step 6: Final answer
    x = 8,933.04

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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.