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Finding the Fourth Proportional to 9,876.36, 14,812.47 and 3,634.75

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Solution

The fourth proportional to 9,876.36, 14,812.47 and 3,634.75 is: 5,451.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.36 : 14,812.47 = 3,634.75 : x
  2. Step 2: Convert to fraction form
    9,876.36/14,812.47 = 3,634.75/x
  3. Step 3: Cross multiply
    9,876.36x = 14,812.47 × 3,634.75
  4. Step 4: Simplify right side
    9,876.36x = 53,839,625.33
  5. Step 5: Solve for x
    x = 53,839,625.33/9,876.36
  6. Step 6: Final answer
    x = 5,451.36

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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.