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Finding the Fourth Proportional to 6,346.45, 9,517.92 and 1,903.06

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Solution

The fourth proportional to 6,346.45, 9,517.92 and 1,903.06 is: 2,854.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,346.45 : 9,517.92 = 1,903.06 : x
  2. Step 2: Convert to fraction form
    6,346.45/9,517.92 = 1,903.06/x
  3. Step 3: Cross multiply
    6,346.45x = 9,517.92 × 1,903.06
  4. Step 4: Simplify right side
    6,346.45x = 18,113,172.84
  5. Step 5: Solve for x
    x = 18,113,172.84/6,346.45
  6. Step 6: Final answer
    x = 2,854.06

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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.