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Finding the Fourth Proportional to 9,823.50, 14,735.25 and 3,667.50

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Solution

The fourth proportional to 9,823.50, 14,735.25 and 3,667.50 is: 5,501.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.50 : 14,735.25 = 3,667.50 : x
  2. Step 2: Convert to fraction form
    9,823.50/14,735.25 = 3,667.50/x
  3. Step 3: Cross multiply
    9,823.50x = 14,735.25 × 3,667.50
  4. Step 4: Simplify right side
    9,823.50x = 54,041,529.38
  5. Step 5: Solve for x
    x = 54,041,529.38/9,823.50
  6. Step 6: Final answer
    x = 5,501.25

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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.