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Finding the Fourth Proportional to 6,504.36, 8,973.90 and 4,147.26

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Solution

The fourth proportional to 6,504.36, 8,973.90 and 4,147.26 is: 5,721.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.36 : 8,973.90 = 4,147.26 : x
  2. Step 2: Convert to fraction form
    6,504.36/8,973.90 = 4,147.26/x
  3. Step 3: Cross multiply
    6,504.36x = 8,973.90 × 4,147.26
  4. Step 4: Simplify right side
    6,504.36x = 37,217,096.51
  5. Step 5: Solve for x
    x = 37,217,096.51/6,504.36
  6. Step 6: Final answer
    x = 5,721.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.