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Finding the Fourth Proportional to 9,332.50, 13,998.75 and 3,860.50

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Solution

The fourth proportional to 9,332.50, 13,998.75 and 3,860.50 is: 5,790.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.50 : 13,998.75 = 3,860.50 : x
  2. Step 2: Convert to fraction form
    9,332.50/13,998.75 = 3,860.50/x
  3. Step 3: Cross multiply
    9,332.50x = 13,998.75 × 3,860.50
  4. Step 4: Simplify right side
    9,332.50x = 54,042,174.38
  5. Step 5: Solve for x
    x = 54,042,174.38/9,332.50
  6. Step 6: Final answer
    x = 5,790.75

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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.