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Finding the Fourth Proportional to 9,661.96, 14,487.34 and 5,153.45

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Solution

The fourth proportional to 9,661.96, 14,487.34 and 5,153.45 is: 7,727.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.96 : 14,487.34 = 5,153.45 : x
  2. Step 2: Convert to fraction form
    9,661.96/14,487.34 = 5,153.45/x
  3. Step 3: Cross multiply
    9,661.96x = 14,487.34 × 5,153.45
  4. Step 4: Simplify right side
    9,661.96x = 74,659,782.32
  5. Step 5: Solve for x
    x = 74,659,782.32/9,661.96
  6. Step 6: Final answer
    x = 7,727.19

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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.