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Finding the Fourth Proportional to 9,808.49, 14,714.57 and 3,969.20

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Solution

The fourth proportional to 9,808.49, 14,714.57 and 3,969.20 is: 5,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.49 : 14,714.57 = 3,969.20 : x
  2. Step 2: Convert to fraction form
    9,808.49/14,714.57 = 3,969.20/x
  3. Step 3: Cross multiply
    9,808.49x = 14,714.57 × 3,969.20
  4. Step 4: Simplify right side
    9,808.49x = 58,405,117.95
  5. Step 5: Solve for x
    x = 58,405,117.95/9,808.49
  6. Step 6: Final answer
    x = 5,954.55

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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.