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Finding the Fourth Proportional to 7,054.51, 9,734.97 and 3,910.63

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Solution

The fourth proportional to 7,054.51, 9,734.97 and 3,910.63 is: 5,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.51 : 9,734.97 = 3,910.63 : x
  2. Step 2: Convert to fraction form
    7,054.51/9,734.97 = 3,910.63/x
  3. Step 3: Cross multiply
    7,054.51x = 9,734.97 × 3,910.63
  4. Step 4: Simplify right side
    7,054.51x = 38,069,865.73
  5. Step 5: Solve for x
    x = 38,069,865.73/7,054.51
  6. Step 6: Final answer
    x = 5,396.53

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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.