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Finding the Fourth Proportional to 6,944.70, 9,586.32 and 4,718.10

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Solution

The fourth proportional to 6,944.70, 9,586.32 and 4,718.10 is: 6,512.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.70 : 9,586.32 = 4,718.10 : x
  2. Step 2: Convert to fraction form
    6,944.70/9,586.32 = 4,718.10/x
  3. Step 3: Cross multiply
    6,944.70x = 9,586.32 × 4,718.10
  4. Step 4: Simplify right side
    6,944.70x = 45,229,216.39
  5. Step 5: Solve for x
    x = 45,229,216.39/6,944.70
  6. Step 6: Final answer
    x = 6,512.77

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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.