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Finding the Fourth Proportional to 6,542.47, 9,026.40 and 3,709.54

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Solution

The fourth proportional to 6,542.47, 9,026.40 and 3,709.54 is: 5,117.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.47 : 9,026.40 = 3,709.54 : x
  2. Step 2: Convert to fraction form
    6,542.47/9,026.40 = 3,709.54/x
  3. Step 3: Cross multiply
    6,542.47x = 9,026.40 × 3,709.54
  4. Step 4: Simplify right side
    6,542.47x = 33,483,791.86
  5. Step 5: Solve for x
    x = 33,483,791.86/6,542.47
  6. Step 6: Final answer
    x = 5,117.91

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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.