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Finding the Fourth Proportional to 6,731.59, 9,289.58 and 3,747.68

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Solution

The fourth proportional to 6,731.59, 9,289.58 and 3,747.68 is: 5,171.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.59 : 9,289.58 = 3,747.68 : x
  2. Step 2: Convert to fraction form
    6,731.59/9,289.58 = 3,747.68/x
  3. Step 3: Cross multiply
    6,731.59x = 9,289.58 × 3,747.68
  4. Step 4: Simplify right side
    6,731.59x = 34,814,405.77
  5. Step 5: Solve for x
    x = 34,814,405.77/6,731.59
  6. Step 6: Final answer
    x = 5,171.80

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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.