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Finding the Fourth Proportional to 6,523.40, 9,785.12 and 4,216.52

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Solution

The fourth proportional to 6,523.40, 9,785.12 and 4,216.52 is: 6,324.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.40 : 9,785.12 = 4,216.52 : x
  2. Step 2: Convert to fraction form
    6,523.40/9,785.12 = 4,216.52/x
  3. Step 3: Cross multiply
    6,523.40x = 9,785.12 × 4,216.52
  4. Step 4: Simplify right side
    6,523.40x = 41,259,154.18
  5. Step 5: Solve for x
    x = 41,259,154.18/6,523.40
  6. Step 6: Final answer
    x = 6,324.79

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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.