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Finding the Fourth Proportional to 9,662.94, 14,507.37 and 5,721.48

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Solution

The fourth proportional to 9,662.94, 14,507.37 and 5,721.48 is: 8,589.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,662.94 : 14,507.37 = 5,721.48 : x
  2. Step 2: Convert to fraction form
    9,662.94/14,507.37 = 5,721.48/x
  3. Step 3: Cross multiply
    9,662.94x = 14,507.37 × 5,721.48
  4. Step 4: Simplify right side
    9,662.94x = 83,003,627.31
  5. Step 5: Solve for x
    x = 83,003,627.31/9,662.94
  6. Step 6: Final answer
    x = 8,589.89

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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.