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Finding the Fourth Proportional to 6,351.60, 9,527.76 and 1,969.68

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Solution

The fourth proportional to 6,351.60, 9,527.76 and 1,969.68 is: 2,954.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,351.60 : 9,527.76 = 1,969.68 : x
  2. Step 2: Convert to fraction form
    6,351.60/9,527.76 = 1,969.68/x
  3. Step 3: Cross multiply
    6,351.60x = 9,527.76 × 1,969.68
  4. Step 4: Simplify right side
    6,351.60x = 18,766,638.32
  5. Step 5: Solve for x
    x = 18,766,638.32/6,351.60
  6. Step 6: Final answer
    x = 2,954.63

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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.