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Finding the Fourth Proportional to 6,137.98, 9,207.89 and 2,188.93

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Solution

The fourth proportional to 6,137.98, 9,207.89 and 2,188.93 is: 3,283.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.98 : 9,207.89 = 2,188.93 : x
  2. Step 2: Convert to fraction form
    6,137.98/9,207.89 = 2,188.93/x
  3. Step 3: Cross multiply
    6,137.98x = 9,207.89 × 2,188.93
  4. Step 4: Simplify right side
    6,137.98x = 20,155,426.66
  5. Step 5: Solve for x
    x = 20,155,426.66/6,137.98
  6. Step 6: Final answer
    x = 3,283.72

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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.