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Finding the Fourth Proportional to 6,277.36, 9,420.90 and 3,358.12

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Solution

The fourth proportional to 6,277.36, 9,420.90 and 3,358.12 is: 5,039.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.36 : 9,420.90 = 3,358.12 : x
  2. Step 2: Convert to fraction form
    6,277.36/9,420.90 = 3,358.12/x
  3. Step 3: Cross multiply
    6,277.36x = 9,420.90 × 3,358.12
  4. Step 4: Simplify right side
    6,277.36x = 31,636,512.71
  5. Step 5: Solve for x
    x = 31,636,512.71/6,277.36
  6. Step 6: Final answer
    x = 5,039.78

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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.