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Finding the Fourth Proportional to 9,694.33, 14,545.82 and 5,076.25

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Solution

The fourth proportional to 9,694.33, 14,545.82 and 5,076.25 is: 7,616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.33 : 14,545.82 = 5,076.25 : x
  2. Step 2: Convert to fraction form
    9,694.33/14,545.82 = 5,076.25/x
  3. Step 3: Cross multiply
    9,694.33x = 14,545.82 × 5,076.25
  4. Step 4: Simplify right side
    9,694.33x = 73,838,193.39
  5. Step 5: Solve for x
    x = 73,838,193.39/9,694.33
  6. Step 6: Final answer
    x = 7,616.64

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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.