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Finding the Fourth Proportional to 9,188.93, 13,790.33 and 6,730.12

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Solution

The fourth proportional to 9,188.93, 13,790.33 and 6,730.12 is: 10,100.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.93 : 13,790.33 = 6,730.12 : x
  2. Step 2: Convert to fraction form
    9,188.93/13,790.33 = 6,730.12/x
  3. Step 3: Cross multiply
    9,188.93x = 13,790.33 × 6,730.12
  4. Step 4: Simplify right side
    9,188.93x = 92,810,507.61
  5. Step 5: Solve for x
    x = 92,810,507.61/9,188.93
  6. Step 6: Final answer
    x = 10,100.26

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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.