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Finding the Fourth Proportional to 9,782.84, 14,675.09 and 3,120.29

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Solution

The fourth proportional to 9,782.84, 14,675.09 and 3,120.29 is: 4,680.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.84 : 14,675.09 = 3,120.29 : x
  2. Step 2: Convert to fraction form
    9,782.84/14,675.09 = 3,120.29/x
  3. Step 3: Cross multiply
    9,782.84x = 14,675.09 × 3,120.29
  4. Step 4: Simplify right side
    9,782.84x = 45,790,536.58
  5. Step 5: Solve for x
    x = 45,790,536.58/9,782.84
  6. Step 6: Final answer
    x = 4,680.70

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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.