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Finding the Fourth Proportional to 9,774.92, 13,476.70 and 6,231.98

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Solution

The fourth proportional to 9,774.92, 13,476.70 and 6,231.98 is: 8,592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.92 : 13,476.70 = 6,231.98 : x
  2. Step 2: Convert to fraction form
    9,774.92/13,476.70 = 6,231.98/x
  3. Step 3: Cross multiply
    9,774.92x = 13,476.70 × 6,231.98
  4. Step 4: Simplify right side
    9,774.92x = 83,986,524.87
  5. Step 5: Solve for x
    x = 83,986,524.87/9,774.92
  6. Step 6: Final answer
    x = 8,592.04

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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.