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Finding the Fourth Proportional to 6,505.44, 9,739.12 and 4,032.80

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Solution

The fourth proportional to 6,505.44, 9,739.12 and 4,032.80 is: 6,037.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.44 : 9,739.12 = 4,032.80 : x
  2. Step 2: Convert to fraction form
    6,505.44/9,739.12 = 4,032.80/x
  3. Step 3: Cross multiply
    6,505.44x = 9,739.12 × 4,032.80
  4. Step 4: Simplify right side
    6,505.44x = 39,275,923.14
  5. Step 5: Solve for x
    x = 39,275,923.14/6,505.44
  6. Step 6: Final answer
    x = 6,037.40

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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.