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Finding the Fourth Proportional to 9,782.43, 14,675.70 and 3,208.11

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Solution

The fourth proportional to 9,782.43, 14,675.70 and 3,208.11 is: 4,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.43 : 14,675.70 = 3,208.11 : x
  2. Step 2: Convert to fraction form
    9,782.43/14,675.70 = 3,208.11/x
  3. Step 3: Cross multiply
    9,782.43x = 14,675.70 × 3,208.11
  4. Step 4: Simplify right side
    9,782.43x = 47,081,259.93
  5. Step 5: Solve for x
    x = 47,081,259.93/9,782.43
  6. Step 6: Final answer
    x = 4,812.84

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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.