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Finding the Fourth Proportional to 8,634.84, 11,920.96 and 6,928.98

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Solution

The fourth proportional to 8,634.84, 11,920.96 and 6,928.98 is: 9,565.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.84 : 11,920.96 = 6,928.98 : x
  2. Step 2: Convert to fraction form
    8,634.84/11,920.96 = 6,928.98/x
  3. Step 3: Cross multiply
    8,634.84x = 11,920.96 × 6,928.98
  4. Step 4: Simplify right side
    8,634.84x = 82,600,093.42
  5. Step 5: Solve for x
    x = 82,600,093.42/8,634.84
  6. Step 6: Final answer
    x = 9,565.91

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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.