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Finding the Fourth Proportional to 6,823.56, 9,412.62 and 4,301.34

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Solution

The fourth proportional to 6,823.56, 9,412.62 and 4,301.34 is: 5,933.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.56 : 9,412.62 = 4,301.34 : x
  2. Step 2: Convert to fraction form
    6,823.56/9,412.62 = 4,301.34/x
  3. Step 3: Cross multiply
    6,823.56x = 9,412.62 × 4,301.34
  4. Step 4: Simplify right side
    6,823.56x = 40,486,878.91
  5. Step 5: Solve for x
    x = 40,486,878.91/6,823.56
  6. Step 6: Final answer
    x = 5,933.40

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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.