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Finding the Fourth Proportional to 8,977.96, 13,468.96 and 3,431.16

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Solution

The fourth proportional to 8,977.96, 13,468.96 and 3,431.16 is: 5,147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,977.96 : 13,468.96 = 3,431.16 : x
  2. Step 2: Convert to fraction form
    8,977.96/13,468.96 = 3,431.16/x
  3. Step 3: Cross multiply
    8,977.96x = 13,468.96 × 3,431.16
  4. Step 4: Simplify right side
    8,977.96x = 46,214,156.79
  5. Step 5: Solve for x
    x = 46,214,156.79/8,977.96
  6. Step 6: Final answer
    x = 5,147.51

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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.