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Finding the Fourth Proportional to 6,560.70, 9,840.84 and 3,778.75

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Solution

The fourth proportional to 6,560.70, 9,840.84 and 3,778.75 is: 5,668.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.70 : 9,840.84 = 3,778.75 : x
  2. Step 2: Convert to fraction form
    6,560.70/9,840.84 = 3,778.75/x
  3. Step 3: Cross multiply
    6,560.70x = 9,840.84 × 3,778.75
  4. Step 4: Simplify right side
    6,560.70x = 37,186,093.54
  5. Step 5: Solve for x
    x = 37,186,093.54/6,560.70
  6. Step 6: Final answer
    x = 5,668.01

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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.