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Finding the Fourth Proportional to 7,928.64, 10,932.39 and 6,431.94

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Solution

The fourth proportional to 7,928.64, 10,932.39 and 6,431.94 is: 8,868.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,928.64 : 10,932.39 = 6,431.94 : x
  2. Step 2: Convert to fraction form
    7,928.64/10,932.39 = 6,431.94/x
  3. Step 3: Cross multiply
    7,928.64x = 10,932.39 × 6,431.94
  4. Step 4: Simplify right side
    7,928.64x = 70,316,476.54
  5. Step 5: Solve for x
    x = 70,316,476.54/7,928.64
  6. Step 6: Final answer
    x = 8,868.67

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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.