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Finding the Fourth Proportional to 9,370.75, 14,043.93 and 3,817.59

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Solution

The fourth proportional to 9,370.75, 14,043.93 and 3,817.59 is: 5,721.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370.75 : 14,043.93 = 3,817.59 : x
  2. Step 2: Convert to fraction form
    9,370.75/14,043.93 = 3,817.59/x
  3. Step 3: Cross multiply
    9,370.75x = 14,043.93 × 3,817.59
  4. Step 4: Simplify right side
    9,370.75x = 53,613,966.73
  5. Step 5: Solve for x
    x = 53,613,966.73/9,370.75
  6. Step 6: Final answer
    x = 5,721.42

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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.