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Finding the Fourth Proportional to 6,208.71, 9,297.82 and 4,010.77

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Solution

The fourth proportional to 6,208.71, 9,297.82 and 4,010.77 is: 6,006.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,208.71 : 9,297.82 = 4,010.77 : x
  2. Step 2: Convert to fraction form
    6,208.71/9,297.82 = 4,010.77/x
  3. Step 3: Cross multiply
    6,208.71x = 9,297.82 × 4,010.77
  4. Step 4: Simplify right side
    6,208.71x = 37,291,417.52
  5. Step 5: Solve for x
    x = 37,291,417.52/6,208.71
  6. Step 6: Final answer
    x = 6,006.31

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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.