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Finding the Fourth Proportional to 9,341.75, 14,013.42 and 2,678.27

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Solution

The fourth proportional to 9,341.75, 14,013.42 and 2,678.27 is: 4,017.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341.75 : 14,013.42 = 2,678.27 : x
  2. Step 2: Convert to fraction form
    9,341.75/14,013.42 = 2,678.27/x
  3. Step 3: Cross multiply
    9,341.75x = 14,013.42 × 2,678.27
  4. Step 4: Simplify right side
    9,341.75x = 37,531,638.92
  5. Step 5: Solve for x
    x = 37,531,638.92/9,341.75
  6. Step 6: Final answer
    x = 4,017.63

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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.