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Finding the Fourth Proportional to 6,480.75, 9,739.40 and 3,848.70

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Solution

The fourth proportional to 6,480.75, 9,739.40 and 3,848.70 is: 5,783.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.75 : 9,739.40 = 3,848.70 : x
  2. Step 2: Convert to fraction form
    6,480.75/9,739.40 = 3,848.70/x
  3. Step 3: Cross multiply
    6,480.75x = 9,739.40 × 3,848.70
  4. Step 4: Simplify right side
    6,480.75x = 37,484,028.78
  5. Step 5: Solve for x
    x = 37,484,028.78/6,480.75
  6. Step 6: Final answer
    x = 5,783.90

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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.