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Finding the Fourth Proportional to 9,365.43, 14,047.88 and 3,817.40

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Solution

The fourth proportional to 9,365.43, 14,047.88 and 3,817.40 is: 5,725.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,365.43 : 14,047.88 = 3,817.40 : x
  2. Step 2: Convert to fraction form
    9,365.43/14,047.88 = 3,817.40/x
  3. Step 3: Cross multiply
    9,365.43x = 14,047.88 × 3,817.40
  4. Step 4: Simplify right side
    9,365.43x = 53,626,377.11
  5. Step 5: Solve for x
    x = 53,626,377.11/9,365.43
  6. Step 6: Final answer
    x = 5,725.99

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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.