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Finding the Fourth Proportional to 6,275.70, 9,401.00 and 3,775.51

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Solution

The fourth proportional to 6,275.70, 9,401.00 and 3,775.51 is: 5,655.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.70 : 9,401.00 = 3,775.51 : x
  2. Step 2: Convert to fraction form
    6,275.70/9,401.00 = 3,775.51/x
  3. Step 3: Cross multiply
    6,275.70x = 9,401.00 × 3,775.51
  4. Step 4: Simplify right side
    6,275.70x = 35,493,555.45
  5. Step 5: Solve for x
    x = 35,493,555.45/6,275.70
  6. Step 6: Final answer
    x = 5,655.71

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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.