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Finding the Fourth Proportional to 6,814.30, 9,405.15 and 4,020.70

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Solution

The fourth proportional to 6,814.30, 9,405.15 and 4,020.70 is: 5,549.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,814.30 : 9,405.15 = 4,020.70 : x
  2. Step 2: Convert to fraction form
    6,814.30/9,405.15 = 4,020.70/x
  3. Step 3: Cross multiply
    6,814.30x = 9,405.15 × 4,020.70
  4. Step 4: Simplify right side
    6,814.30x = 37,815,286.61
  5. Step 5: Solve for x
    x = 37,815,286.61/6,814.30
  6. Step 6: Final answer
    x = 5,549.40

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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.