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Finding the Fourth Proportional to 9,094.38, 13,627.64 and 6,121.83

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Solution

The fourth proportional to 9,094.38, 13,627.64 and 6,121.83 is: 9,173.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,094.38 : 13,627.64 = 6,121.83 : x
  2. Step 2: Convert to fraction form
    9,094.38/13,627.64 = 6,121.83/x
  3. Step 3: Cross multiply
    9,094.38x = 13,627.64 × 6,121.83
  4. Step 4: Simplify right side
    9,094.38x = 83,426,064.77
  5. Step 5: Solve for x
    x = 83,426,064.77/9,094.38
  6. Step 6: Final answer
    x = 9,173.36

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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.