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Finding the Fourth Proportional to 9,945.81, 13,723.15 and 5,914.07

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Solution

The fourth proportional to 9,945.81, 13,723.15 and 5,914.07 is: 8,160.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.81 : 13,723.15 = 5,914.07 : x
  2. Step 2: Convert to fraction form
    9,945.81/13,723.15 = 5,914.07/x
  3. Step 3: Cross multiply
    9,945.81x = 13,723.15 × 5,914.07
  4. Step 4: Simplify right side
    9,945.81x = 81,159,640.15
  5. Step 5: Solve for x
    x = 81,159,640.15/9,945.81
  6. Step 6: Final answer
    x = 8,160.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.