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Finding the Fourth Proportional to 9,362.50, 12,890.77 and 7,943.24

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Solution

The fourth proportional to 9,362.50, 12,890.77 and 7,943.24 is: 10,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.50 : 12,890.77 = 7,943.24 : x
  2. Step 2: Convert to fraction form
    9,362.50/12,890.77 = 7,943.24/x
  3. Step 3: Cross multiply
    9,362.50x = 12,890.77 × 7,943.24
  4. Step 4: Simplify right side
    9,362.50x = 102,394,492.26
  5. Step 5: Solve for x
    x = 102,394,492.26/9,362.50
  6. Step 6: Final answer
    x = 10,936.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.