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Finding the Fourth Proportional to 9,306.96, 13,954.98 and 3,760.48

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Solution

The fourth proportional to 9,306.96, 13,954.98 and 3,760.48 is: 5,638.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.96 : 13,954.98 = 3,760.48 : x
  2. Step 2: Convert to fraction form
    9,306.96/13,954.98 = 3,760.48/x
  3. Step 3: Cross multiply
    9,306.96x = 13,954.98 × 3,760.48
  4. Step 4: Simplify right side
    9,306.96x = 52,477,423.19
  5. Step 5: Solve for x
    x = 52,477,423.19/9,306.96
  6. Step 6: Final answer
    x = 5,638.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.