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Finding the Fourth Proportional to 9,742.84, 13,446.12 and 5,968.54

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Solution

The fourth proportional to 9,742.84, 13,446.12 and 5,968.54 is: 8,237.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.84 : 13,446.12 = 5,968.54 : x
  2. Step 2: Convert to fraction form
    9,742.84/13,446.12 = 5,968.54/x
  3. Step 3: Cross multiply
    9,742.84x = 13,446.12 × 5,968.54
  4. Step 4: Simplify right side
    9,742.84x = 80,253,705.06
  5. Step 5: Solve for x
    x = 80,253,705.06/9,742.84
  6. Step 6: Final answer
    x = 8,237.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.