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Finding the Fourth Proportional to 6,762.94, 9,332.02 and 3,778.68

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Solution

The fourth proportional to 6,762.94, 9,332.02 and 3,778.68 is: 5,214.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,762.94 : 9,332.02 = 3,778.68 : x
  2. Step 2: Convert to fraction form
    6,762.94/9,332.02 = 3,778.68/x
  3. Step 3: Cross multiply
    6,762.94x = 9,332.02 × 3,778.68
  4. Step 4: Simplify right side
    6,762.94x = 35,262,717.33
  5. Step 5: Solve for x
    x = 35,262,717.33/6,762.94
  6. Step 6: Final answer
    x = 5,214.11

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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.