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Finding the Fourth Proportional to 9,953.70, 13,735.83 and 5,416.23

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Solution

The fourth proportional to 9,953.70, 13,735.83 and 5,416.23 is: 7,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.70 : 13,735.83 = 5,416.23 : x
  2. Step 2: Convert to fraction form
    9,953.70/13,735.83 = 5,416.23/x
  3. Step 3: Cross multiply
    9,953.70x = 13,735.83 × 5,416.23
  4. Step 4: Simplify right side
    9,953.70x = 74,396,414.52
  5. Step 5: Solve for x
    x = 74,396,414.52/9,953.70
  6. Step 6: Final answer
    x = 7,474.25

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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.