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Finding the Fourth Proportional to 6,583.96, 9,876.36 and 1,903.48

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Solution

The fourth proportional to 6,583.96, 9,876.36 and 1,903.48 is: 2,855.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,583.96 : 9,876.36 = 1,903.48 : x
  2. Step 2: Convert to fraction form
    6,583.96/9,876.36 = 1,903.48/x
  3. Step 3: Cross multiply
    6,583.96x = 9,876.36 × 1,903.48
  4. Step 4: Simplify right side
    6,583.96x = 18,799,453.73
  5. Step 5: Solve for x
    x = 18,799,453.73/6,583.96
  6. Step 6: Final answer
    x = 2,855.34

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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.