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Finding the Fourth Proportional to 6,790.96, 9,368.73 and 4,137.40

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Solution

The fourth proportional to 6,790.96, 9,368.73 and 4,137.40 is: 5,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,790.96 : 9,368.73 = 4,137.40 : x
  2. Step 2: Convert to fraction form
    6,790.96/9,368.73 = 4,137.40/x
  3. Step 3: Cross multiply
    6,790.96x = 9,368.73 × 4,137.40
  4. Step 4: Simplify right side
    6,790.96x = 38,762,183.50
  5. Step 5: Solve for x
    x = 38,762,183.50/6,790.96
  6. Step 6: Final answer
    x = 5,707.91

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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.