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Finding the Fourth Proportional to 8,594.97, 12,894.07 and 3,401.25

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Solution

The fourth proportional to 8,594.97, 12,894.07 and 3,401.25 is: 5,102.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,594.97 : 12,894.07 = 3,401.25 : x
  2. Step 2: Convert to fraction form
    8,594.97/12,894.07 = 3,401.25/x
  3. Step 3: Cross multiply
    8,594.97x = 12,894.07 × 3,401.25
  4. Step 4: Simplify right side
    8,594.97x = 43,855,955.59
  5. Step 5: Solve for x
    x = 43,855,955.59/8,594.97
  6. Step 6: Final answer
    x = 5,102.51

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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.