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Finding the Fourth Proportional to 9,210, 13,817.55 and 3,667.23

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Solution

The fourth proportional to 9,210, 13,817.55 and 3,667.23 is: 5,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,210 : 13,817.55 = 3,667.23 : x
  2. Step 2: Convert to fraction form
    9,210/13,817.55 = 3,667.23/x
  3. Step 3: Cross multiply
    9,210x = 13,817.55 × 3,667.23
  4. Step 4: Simplify right side
    9,210x = 50,672,133.89
  5. Step 5: Solve for x
    x = 50,672,133.89/9,210
  6. Step 6: Final answer
    x = 5,501.86

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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.