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Finding the Fourth Proportional to 6,296.51, 9,444.78 and 2,999.61

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Solution

The fourth proportional to 6,296.51, 9,444.78 and 2,999.61 is: 4,499.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,296.51 : 9,444.78 = 2,999.61 : x
  2. Step 2: Convert to fraction form
    6,296.51/9,444.78 = 2,999.61/x
  3. Step 3: Cross multiply
    6,296.51x = 9,444.78 × 2,999.61
  4. Step 4: Simplify right side
    6,296.51x = 28,330,656.54
  5. Step 5: Solve for x
    x = 28,330,656.54/6,296.51
  6. Step 6: Final answer
    x = 4,499.42

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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.