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Finding the Fourth Proportional to 7,231.37, 9,976.34 and 4,712.56

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Solution

The fourth proportional to 7,231.37, 9,976.34 and 4,712.56 is: 6,501.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.37 : 9,976.34 = 4,712.56 : x
  2. Step 2: Convert to fraction form
    7,231.37/9,976.34 = 4,712.56/x
  3. Step 3: Cross multiply
    7,231.37x = 9,976.34 × 4,712.56
  4. Step 4: Simplify right side
    7,231.37x = 47,014,074.42
  5. Step 5: Solve for x
    x = 47,014,074.42/7,231.37
  6. Step 6: Final answer
    x = 6,501.41

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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.