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Finding the Fourth Proportional to 9,187.17, 13,766.18 and 6,993.33

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Solution

The fourth proportional to 9,187.17, 13,766.18 and 6,993.33 is: 10,478.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,187.17 : 13,766.18 = 6,993.33 : x
  2. Step 2: Convert to fraction form
    9,187.17/13,766.18 = 6,993.33/x
  3. Step 3: Cross multiply
    9,187.17x = 13,766.18 × 6,993.33
  4. Step 4: Simplify right side
    9,187.17x = 96,271,404.61
  5. Step 5: Solve for x
    x = 96,271,404.61/9,187.17
  6. Step 6: Final answer
    x = 10,478.90

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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.