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Finding the Fourth Proportional to 6,625.61, 9,146.89 and 5,109.85

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Solution

The fourth proportional to 6,625.61, 9,146.89 and 5,109.85 is: 7,054.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.61 : 9,146.89 = 5,109.85 : x
  2. Step 2: Convert to fraction form
    6,625.61/9,146.89 = 5,109.85/x
  3. Step 3: Cross multiply
    6,625.61x = 9,146.89 × 5,109.85
  4. Step 4: Simplify right side
    6,625.61x = 46,739,235.87
  5. Step 5: Solve for x
    x = 46,739,235.87/6,625.61
  6. Step 6: Final answer
    x = 7,054.33

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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.