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Finding the Fourth Proportional to 6,188.97, 9,275.64 and 2,675.46

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Solution

The fourth proportional to 6,188.97, 9,275.64 and 2,675.46 is: 4,009.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.97 : 9,275.64 = 2,675.46 : x
  2. Step 2: Convert to fraction form
    6,188.97/9,275.64 = 2,675.46/x
  3. Step 3: Cross multiply
    6,188.97x = 9,275.64 × 2,675.46
  4. Step 4: Simplify right side
    6,188.97x = 24,816,603.79
  5. Step 5: Solve for x
    x = 24,816,603.79/6,188.97
  6. Step 6: Final answer
    x = 4,009.81

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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.