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Finding the Fourth Proportional to 6,828.96, 9,423.12 and 4,310.10

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Solution

The fourth proportional to 6,828.96, 9,423.12 and 4,310.10 is: 5,947.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.96 : 9,423.12 = 4,310.10 : x
  2. Step 2: Convert to fraction form
    6,828.96/9,423.12 = 4,310.10/x
  3. Step 3: Cross multiply
    6,828.96x = 9,423.12 × 4,310.10
  4. Step 4: Simplify right side
    6,828.96x = 40,614,589.51
  5. Step 5: Solve for x
    x = 40,614,589.51/6,828.96
  6. Step 6: Final answer
    x = 5,947.40

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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.