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Finding the Fourth Proportional to 8,057.01, 12,094.35 and 6,401.78

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Solution

The fourth proportional to 8,057.01, 12,094.35 and 6,401.78 is: 9,609.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,057.01 : 12,094.35 = 6,401.78 : x
  2. Step 2: Convert to fraction form
    8,057.01/12,094.35 = 6,401.78/x
  3. Step 3: Cross multiply
    8,057.01x = 12,094.35 × 6,401.78
  4. Step 4: Simplify right side
    8,057.01x = 77,425,283.46
  5. Step 5: Solve for x
    x = 77,425,283.46/8,057.01
  6. Step 6: Final answer
    x = 9,609.68

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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.