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Finding the Fourth Proportional to 6,443.47, 9,676.14 and 3,862.81

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Solution

The fourth proportional to 6,443.47, 9,676.14 and 3,862.81 is: 5,800.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.47 : 9,676.14 = 3,862.81 : x
  2. Step 2: Convert to fraction form
    6,443.47/9,676.14 = 3,862.81/x
  3. Step 3: Cross multiply
    6,443.47x = 9,676.14 × 3,862.81
  4. Step 4: Simplify right side
    6,443.47x = 37,377,090.35
  5. Step 5: Solve for x
    x = 37,377,090.35/6,443.47
  6. Step 6: Final answer
    x = 5,800.77

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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.