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Finding the Fourth Proportional to 6,115.98, 9,178.08 and 2,993.40

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Solution

The fourth proportional to 6,115.98, 9,178.08 and 2,993.40 is: 4,492.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.98 : 9,178.08 = 2,993.40 : x
  2. Step 2: Convert to fraction form
    6,115.98/9,178.08 = 2,993.40/x
  3. Step 3: Cross multiply
    6,115.98x = 9,178.08 × 2,993.40
  4. Step 4: Simplify right side
    6,115.98x = 27,473,664.67
  5. Step 5: Solve for x
    x = 27,473,664.67/6,115.98
  6. Step 6: Final answer
    x = 4,492.11

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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.