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Finding the Fourth Proportional to 9,446.92, 13,020.42 and 7,084.96

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Solution

The fourth proportional to 9,446.92, 13,020.42 and 7,084.96 is: 9,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.92 : 13,020.42 = 7,084.96 : x
  2. Step 2: Convert to fraction form
    9,446.92/13,020.42 = 7,084.96/x
  3. Step 3: Cross multiply
    9,446.92x = 13,020.42 × 7,084.96
  4. Step 4: Simplify right side
    9,446.92x = 92,249,154.88
  5. Step 5: Solve for x
    x = 92,249,154.88/9,446.92
  6. Step 6: Final answer
    x = 9,765.00

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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.