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Finding the Fourth Proportional to 6,944.81, 9,576.83 and 4,587.71

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Solution

The fourth proportional to 6,944.81, 9,576.83 and 4,587.71 is: 6,326.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.81 : 9,576.83 = 4,587.71 : x
  2. Step 2: Convert to fraction form
    6,944.81/9,576.83 = 4,587.71/x
  3. Step 3: Cross multiply
    6,944.81x = 9,576.83 × 4,587.71
  4. Step 4: Simplify right side
    6,944.81x = 43,935,682.34
  5. Step 5: Solve for x
    x = 43,935,682.34/6,944.81
  6. Step 6: Final answer
    x = 6,326.41

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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.