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Finding the Fourth Proportional to 9,866.36, 14,805.14 and 3,625.56

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Solution

The fourth proportional to 9,866.36, 14,805.14 and 3,625.56 is: 5,440.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,866.36 : 14,805.14 = 3,625.56 : x
  2. Step 2: Convert to fraction form
    9,866.36/14,805.14 = 3,625.56/x
  3. Step 3: Cross multiply
    9,866.36x = 14,805.14 × 3,625.56
  4. Step 4: Simplify right side
    9,866.36x = 53,676,905.25
  5. Step 5: Solve for x
    x = 53,676,905.25/9,866.36
  6. Step 6: Final answer
    x = 5,440.40

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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.