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Finding the Fourth Proportional to 7,054.64, 9,735.39 and 4,222.14

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Solution

The fourth proportional to 7,054.64, 9,735.39 and 4,222.14 is: 5,826.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.64 : 9,735.39 = 4,222.14 : x
  2. Step 2: Convert to fraction form
    7,054.64/9,735.39 = 4,222.14/x
  3. Step 3: Cross multiply
    7,054.64x = 9,735.39 × 4,222.14
  4. Step 4: Simplify right side
    7,054.64x = 41,104,143.03
  5. Step 5: Solve for x
    x = 41,104,143.03/7,054.64
  6. Step 6: Final answer
    x = 5,826.54

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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.