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Finding the Fourth Proportional to 6,386.47, 9,579.69 and 2,004.26

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Solution

The fourth proportional to 6,386.47, 9,579.69 and 2,004.26 is: 3,006.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,386.47 : 9,579.69 = 2,004.26 : x
  2. Step 2: Convert to fraction form
    6,386.47/9,579.69 = 2,004.26/x
  3. Step 3: Cross multiply
    6,386.47x = 9,579.69 × 2,004.26
  4. Step 4: Simplify right side
    6,386.47x = 19,200,141.58
  5. Step 5: Solve for x
    x = 19,200,141.58/6,386.47
  6. Step 6: Final answer
    x = 3,006.38

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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.