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Finding the Fourth Proportional to 9,171.19, 13,749 and 4,723.81

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Solution

The fourth proportional to 9,171.19, 13,749 and 4,723.81 is: 7,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.19 : 13,749 = 4,723.81 : x
  2. Step 2: Convert to fraction form
    9,171.19/13,749 = 4,723.81/x
  3. Step 3: Cross multiply
    9,171.19x = 13,749 × 4,723.81
  4. Step 4: Simplify right side
    9,171.19x = 64,947,663.69
  5. Step 5: Solve for x
    x = 64,947,663.69/9,171.19
  6. Step 6: Final answer
    x = 7,081.71

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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.