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Finding the Fourth Proportional to 6,478.10, 9,713.94 and 3,357.27

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Solution

The fourth proportional to 6,478.10, 9,713.94 and 3,357.27 is: 5,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,478.10 : 9,713.94 = 3,357.27 : x
  2. Step 2: Convert to fraction form
    6,478.10/9,713.94 = 3,357.27/x
  3. Step 3: Cross multiply
    6,478.10x = 9,713.94 × 3,357.27
  4. Step 4: Simplify right side
    6,478.10x = 32,612,319.34
  5. Step 5: Solve for x
    x = 32,612,319.34/6,478.10
  6. Step 6: Final answer
    x = 5,034.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.