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Finding the Fourth Proportional to 6,557.30, 9,828.14 and 3,778.21

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Solution

The fourth proportional to 6,557.30, 9,828.14 and 3,778.21 is: 5,662.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.30 : 9,828.14 = 3,778.21 : x
  2. Step 2: Convert to fraction form
    6,557.30/9,828.14 = 3,778.21/x
  3. Step 3: Cross multiply
    6,557.30x = 9,828.14 × 3,778.21
  4. Step 4: Simplify right side
    6,557.30x = 37,132,770.22
  5. Step 5: Solve for x
    x = 37,132,770.22/6,557.30
  6. Step 6: Final answer
    x = 5,662.81

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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.