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Finding the Fourth Proportional to 6,415.44, 9,610.56 and 4,217.52

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Solution

The fourth proportional to 6,415.44, 9,610.56 and 4,217.52 is: 6,318.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.44 : 9,610.56 = 4,217.52 : x
  2. Step 2: Convert to fraction form
    6,415.44/9,610.56 = 4,217.52/x
  3. Step 3: Cross multiply
    6,415.44x = 9,610.56 × 4,217.52
  4. Step 4: Simplify right side
    6,415.44x = 40,532,729.01
  5. Step 5: Solve for x
    x = 40,532,729.01/6,415.44
  6. Step 6: Final answer
    x = 6,318.00

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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.