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Finding the Fourth Proportional to 6,275.24, 9,415.97 and 4,438.16

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Solution

The fourth proportional to 6,275.24, 9,415.97 and 4,438.16 is: 6,659.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.24 : 9,415.97 = 4,438.16 : x
  2. Step 2: Convert to fraction form
    6,275.24/9,415.97 = 4,438.16/x
  3. Step 3: Cross multiply
    6,275.24x = 9,415.97 × 4,438.16
  4. Step 4: Simplify right side
    6,275.24x = 41,789,559.22
  5. Step 5: Solve for x
    x = 41,789,559.22/6,275.24
  6. Step 6: Final answer
    x = 6,659.44

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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.