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Finding the Fourth Proportional to 9,200.34, 13,788.94 and 4,983.43

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Solution

The fourth proportional to 9,200.34, 13,788.94 and 4,983.43 is: 7,468.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.34 : 13,788.94 = 4,983.43 : x
  2. Step 2: Convert to fraction form
    9,200.34/13,788.94 = 4,983.43/x
  3. Step 3: Cross multiply
    9,200.34x = 13,788.94 × 4,983.43
  4. Step 4: Simplify right side
    9,200.34x = 68,716,217.26
  5. Step 5: Solve for x
    x = 68,716,217.26/9,200.34
  6. Step 6: Final answer
    x = 7,468.88

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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.