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Finding the Fourth Proportional to 37,269.84, 55,904.22 and 9,190.20

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Solution

The fourth proportional to 37,269.84, 55,904.22 and 9,190.20 is: 13,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,269.84 : 55,904.22 = 9,190.20 : x
  2. Step 2: Convert to fraction form
    37,269.84/55,904.22 = 9,190.20/x
  3. Step 3: Cross multiply
    37,269.84x = 55,904.22 × 9,190.20
  4. Step 4: Simplify right side
    37,269.84x = 513,770,962.64
  5. Step 5: Solve for x
    x = 513,770,962.64/37,269.84
  6. Step 6: Final answer
    x = 13,785.17

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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.