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Finding the Fourth Proportional to 6,216.48, 9,321.21 and 5,686.88

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Solution

The fourth proportional to 6,216.48, 9,321.21 and 5,686.88 is: 8,527.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.48 : 9,321.21 = 5,686.88 : x
  2. Step 2: Convert to fraction form
    6,216.48/9,321.21 = 5,686.88/x
  3. Step 3: Cross multiply
    6,216.48x = 9,321.21 × 5,686.88
  4. Step 4: Simplify right side
    6,216.48x = 53,008,556.12
  5. Step 5: Solve for x
    x = 53,008,556.12/6,216.48
  6. Step 6: Final answer
    x = 8,527.10

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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.