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Finding the Fourth Proportional to 9,782.10, 14,673.96 and 3,208.14

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Solution

The fourth proportional to 9,782.10, 14,673.96 and 3,208.14 is: 4,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.10 : 14,673.96 = 3,208.14 : x
  2. Step 2: Convert to fraction form
    9,782.10/14,673.96 = 3,208.14/x
  3. Step 3: Cross multiply
    9,782.10x = 14,673.96 × 3,208.14
  4. Step 4: Simplify right side
    9,782.10x = 47,076,118.03
  5. Step 5: Solve for x
    x = 47,076,118.03/9,782.10
  6. Step 6: Final answer
    x = 4,812.48

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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.