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Finding the Fourth Proportional to 6,542.86, 9,804.73 and 4,070.17

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Solution

The fourth proportional to 6,542.86, 9,804.73 and 4,070.17 is: 6,099.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.86 : 9,804.73 = 4,070.17 : x
  2. Step 2: Convert to fraction form
    6,542.86/9,804.73 = 4,070.17/x
  3. Step 3: Cross multiply
    6,542.86x = 9,804.73 × 4,070.17
  4. Step 4: Simplify right side
    6,542.86x = 39,906,917.90
  5. Step 5: Solve for x
    x = 39,906,917.90/6,542.86
  6. Step 6: Final answer
    x = 6,099.31

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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.