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Finding the Fourth Proportional to 9,141.48, 13,709.43 and 3,876.39

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Solution

The fourth proportional to 9,141.48, 13,709.43 and 3,876.39 is: 5,813.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.48 : 13,709.43 = 3,876.39 : x
  2. Step 2: Convert to fraction form
    9,141.48/13,709.43 = 3,876.39/x
  3. Step 3: Cross multiply
    9,141.48x = 13,709.43 × 3,876.39
  4. Step 4: Simplify right side
    9,141.48x = 53,143,097.36
  5. Step 5: Solve for x
    x = 53,143,097.36/9,141.48
  6. Step 6: Final answer
    x = 5,813.40

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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.