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Finding the Fourth Proportional to 9,381.50, 14,062.10 and 6,096.94

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Solution

The fourth proportional to 9,381.50, 14,062.10 and 6,096.94 is: 9,138.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.50 : 14,062.10 = 6,096.94 : x
  2. Step 2: Convert to fraction form
    9,381.50/14,062.10 = 6,096.94/x
  3. Step 3: Cross multiply
    9,381.50x = 14,062.10 × 6,096.94
  4. Step 4: Simplify right side
    9,381.50x = 85,735,779.97
  5. Step 5: Solve for x
    x = 85,735,779.97/9,381.50
  6. Step 6: Final answer
    x = 9,138.81

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Why These Related Problems?

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