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Finding the Fourth Proportional to 6,269.01, 9,401.85 and 1,886.64

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Solution

The fourth proportional to 6,269.01, 9,401.85 and 1,886.64 is: 2,829.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.01 : 9,401.85 = 1,886.64 : x
  2. Step 2: Convert to fraction form
    6,269.01/9,401.85 = 1,886.64/x
  3. Step 3: Cross multiply
    6,269.01x = 9,401.85 × 1,886.64
  4. Step 4: Simplify right side
    6,269.01x = 17,737,906.28
  5. Step 5: Solve for x
    x = 17,737,906.28/6,269.01
  6. Step 6: Final answer
    x = 2,829.46

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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.