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Finding the Fourth Proportional to 9,260.87, 13,889.43 and 3,416.09

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Solution

The fourth proportional to 9,260.87, 13,889.43 and 3,416.09 is: 5,123.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.87 : 13,889.43 = 3,416.09 : x
  2. Step 2: Convert to fraction form
    9,260.87/13,889.43 = 3,416.09/x
  3. Step 3: Cross multiply
    9,260.87x = 13,889.43 × 3,416.09
  4. Step 4: Simplify right side
    9,260.87x = 47,447,473.48
  5. Step 5: Solve for x
    x = 47,447,473.48/9,260.87
  6. Step 6: Final answer
    x = 5,123.44

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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.