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Finding the Fourth Proportional to 8,941.29, 13,411.95 and 3,097.90

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Solution

The fourth proportional to 8,941.29, 13,411.95 and 3,097.90 is: 4,646.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,941.29 : 13,411.95 = 3,097.90 : x
  2. Step 2: Convert to fraction form
    8,941.29/13,411.95 = 3,097.90/x
  3. Step 3: Cross multiply
    8,941.29x = 13,411.95 × 3,097.90
  4. Step 4: Simplify right side
    8,941.29x = 41,548,885.05
  5. Step 5: Solve for x
    x = 41,548,885.05/8,941.29
  6. Step 6: Final answer
    x = 4,646.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.