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Finding the Fourth Proportional to 8,587.94, 12,886.23 and 6,401.06

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Solution

The fourth proportional to 8,587.94, 12,886.23 and 6,401.06 is: 9,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,587.94 : 12,886.23 = 6,401.06 : x
  2. Step 2: Convert to fraction form
    8,587.94/12,886.23 = 6,401.06/x
  3. Step 3: Cross multiply
    8,587.94x = 12,886.23 × 6,401.06
  4. Step 4: Simplify right side
    8,587.94x = 82,485,531.40
  5. Step 5: Solve for x
    x = 82,485,531.40/8,587.94
  6. Step 6: Final answer
    x = 9,604.81

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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.