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Finding the Fourth Proportional to 6,515.51, 9,765.93 and 3,230.96

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Solution

The fourth proportional to 6,515.51, 9,765.93 and 3,230.96 is: 4,842.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,515.51 : 9,765.93 = 3,230.96 : x
  2. Step 2: Convert to fraction form
    6,515.51/9,765.93 = 3,230.96/x
  3. Step 3: Cross multiply
    6,515.51x = 9,765.93 × 3,230.96
  4. Step 4: Simplify right side
    6,515.51x = 31,553,329.19
  5. Step 5: Solve for x
    x = 31,553,329.19/6,515.51
  6. Step 6: Final answer
    x = 4,842.80

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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.