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Finding the Fourth Proportional to 6,465.96, 9,698.70 and 3,851.56

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Solution

The fourth proportional to 6,465.96, 9,698.70 and 3,851.56 is: 5,777.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,465.96 : 9,698.70 = 3,851.56 : x
  2. Step 2: Convert to fraction form
    6,465.96/9,698.70 = 3,851.56/x
  3. Step 3: Cross multiply
    6,465.96x = 9,698.70 × 3,851.56
  4. Step 4: Simplify right side
    6,465.96x = 37,355,124.97
  5. Step 5: Solve for x
    x = 37,355,124.97/6,465.96
  6. Step 6: Final answer
    x = 5,777.20

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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.