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Finding the Fourth Proportional to 9,111.81, 13,667.70 and 7,034.84

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Solution

The fourth proportional to 9,111.81, 13,667.70 and 7,034.84 is: 10,552.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,111.81 : 13,667.70 = 7,034.84 : x
  2. Step 2: Convert to fraction form
    9,111.81/13,667.70 = 7,034.84/x
  3. Step 3: Cross multiply
    9,111.81x = 13,667.70 × 7,034.84
  4. Step 4: Simplify right side
    9,111.81x = 96,150,143.22
  5. Step 5: Solve for x
    x = 96,150,143.22/9,111.81
  6. Step 6: Final answer
    x = 10,552.26

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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.