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Finding the Fourth Proportional to 7,054.24, 9,734.82 and 3,867.52

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Solution

The fourth proportional to 7,054.24, 9,734.82 and 3,867.52 is: 5,337.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,054.24 : 9,734.82 = 3,867.52 : x
  2. Step 2: Convert to fraction form
    7,054.24/9,734.82 = 3,867.52/x
  3. Step 3: Cross multiply
    7,054.24x = 9,734.82 × 3,867.52
  4. Step 4: Simplify right side
    7,054.24x = 37,649,611.05
  5. Step 5: Solve for x
    x = 37,649,611.05/7,054.24
  6. Step 6: Final answer
    x = 5,337.16

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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.