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Finding the Fourth Proportional to 6,448.01, 9,665.33 and 2,750.76

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Solution

The fourth proportional to 6,448.01, 9,665.33 and 2,750.76 is: 4,123.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,448.01 : 9,665.33 = 2,750.76 : x
  2. Step 2: Convert to fraction form
    6,448.01/9,665.33 = 2,750.76/x
  3. Step 3: Cross multiply
    6,448.01x = 9,665.33 × 2,750.76
  4. Step 4: Simplify right side
    6,448.01x = 26,586,989.40
  5. Step 5: Solve for x
    x = 26,586,989.40/6,448.01
  6. Step 6: Final answer
    x = 4,123.29

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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.