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Finding the Fourth Proportional to 6,096.34, 8,412.93 and 3,301.84

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Solution

The fourth proportional to 6,096.34, 8,412.93 and 3,301.84 is: 4,556.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.34 : 8,412.93 = 3,301.84 : x
  2. Step 2: Convert to fraction form
    6,096.34/8,412.93 = 3,301.84/x
  3. Step 3: Cross multiply
    6,096.34x = 8,412.93 × 3,301.84
  4. Step 4: Simplify right side
    6,096.34x = 27,778,148.79
  5. Step 5: Solve for x
    x = 27,778,148.79/6,096.34
  6. Step 6: Final answer
    x = 4,556.53

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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.