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Finding the Fourth Proportional to 9,735.92, 13,431.96 and 6,754.40

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Solution

The fourth proportional to 9,735.92, 13,431.96 and 6,754.40 is: 9,318.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.92 : 13,431.96 = 6,754.40 : x
  2. Step 2: Convert to fraction form
    9,735.92/13,431.96 = 6,754.40/x
  3. Step 3: Cross multiply
    9,735.92x = 13,431.96 × 6,754.40
  4. Step 4: Simplify right side
    9,735.92x = 90,724,830.62
  5. Step 5: Solve for x
    x = 90,724,830.62/9,735.92
  6. Step 6: Final answer
    x = 9,318.57

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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.