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Finding the Fourth Proportional to 37,084.74, 55,626.60 and 9,005

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Solution

The fourth proportional to 37,084.74, 55,626.60 and 9,005 is: 13,507.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,084.74 : 55,626.60 = 9,005 : x
  2. Step 2: Convert to fraction form
    37,084.74/55,626.60 = 9,005/x
  3. Step 3: Cross multiply
    37,084.74x = 55,626.60 × 9,005
  4. Step 4: Simplify right side
    37,084.74x = 500,917,533
  5. Step 5: Solve for x
    x = 500,917,533/37,084.74
  6. Step 6: Final answer
    x = 13,507.38

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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.