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Finding the Fourth Proportional to 6,506.36, 9,759.48 and 2,811.20

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Solution

The fourth proportional to 6,506.36, 9,759.48 and 2,811.20 is: 4,216.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,506.36 : 9,759.48 = 2,811.20 : x
  2. Step 2: Convert to fraction form
    6,506.36/9,759.48 = 2,811.20/x
  3. Step 3: Cross multiply
    6,506.36x = 9,759.48 × 2,811.20
  4. Step 4: Simplify right side
    6,506.36x = 27,435,850.18
  5. Step 5: Solve for x
    x = 27,435,850.18/6,506.36
  6. Step 6: Final answer
    x = 4,216.77

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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.