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Finding the Fourth Proportional to 6,092.01, 9,135.54 and 1,930.68

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Solution

The fourth proportional to 6,092.01, 9,135.54 and 1,930.68 is: 2,895.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.01 : 9,135.54 = 1,930.68 : x
  2. Step 2: Convert to fraction form
    6,092.01/9,135.54 = 1,930.68/x
  3. Step 3: Cross multiply
    6,092.01x = 9,135.54 × 1,930.68
  4. Step 4: Simplify right side
    6,092.01x = 17,637,804.37
  5. Step 5: Solve for x
    x = 17,637,804.37/6,092.01
  6. Step 6: Final answer
    x = 2,895.24

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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.