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Finding the Fourth Proportional to 7,054.07, 9,734.61 and 4,221.57

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Solution

The fourth proportional to 7,054.07, 9,734.61 and 4,221.57 is: 5,825.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.07 : 9,734.61 = 4,221.57 : x
  2. Step 2: Convert to fraction form
    7,054.07/9,734.61 = 4,221.57/x
  3. Step 3: Cross multiply
    7,054.07x = 9,734.61 × 4,221.57
  4. Step 4: Simplify right side
    7,054.07x = 41,095,335.12
  5. Step 5: Solve for x
    x = 41,095,335.12/7,054.07
  6. Step 6: Final answer
    x = 5,825.76

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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.