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Finding the Fourth Proportional to 6,275.74, 9,416.73 and 4,438.66

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Solution

The fourth proportional to 6,275.74, 9,416.73 and 4,438.66 is: 6,660.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.74 : 9,416.73 = 4,438.66 : x
  2. Step 2: Convert to fraction form
    6,275.74/9,416.73 = 4,438.66/x
  3. Step 3: Cross multiply
    6,275.74x = 9,416.73 × 4,438.66
  4. Step 4: Simplify right side
    6,275.74x = 41,797,662.78
  5. Step 5: Solve for x
    x = 41,797,662.78/6,275.74
  6. Step 6: Final answer
    x = 6,660.20

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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.