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Finding the Fourth Proportional to 9,361.38, 14,038.17 and 3,810.97

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Solution

The fourth proportional to 9,361.38, 14,038.17 and 3,810.97 is: 5,714.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,361.38 : 14,038.17 = 3,810.97 : x
  2. Step 2: Convert to fraction form
    9,361.38/14,038.17 = 3,810.97/x
  3. Step 3: Cross multiply
    9,361.38x = 14,038.17 × 3,810.97
  4. Step 4: Simplify right side
    9,361.38x = 53,499,044.72
  5. Step 5: Solve for x
    x = 53,499,044.72/9,361.38
  6. Step 6: Final answer
    x = 5,714.87

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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.