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Finding the Fourth Proportional to 37,313.84, 55,971.32 and 9,234

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Solution

The fourth proportional to 37,313.84, 55,971.32 and 9,234 is: 13,851.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,313.84 : 55,971.32 = 9,234 : x
  2. Step 2: Convert to fraction form
    37,313.84/55,971.32 = 9,234/x
  3. Step 3: Cross multiply
    37,313.84x = 55,971.32 × 9,234
  4. Step 4: Simplify right side
    37,313.84x = 516,839,168.88
  5. Step 5: Solve for x
    x = 516,839,168.88/37,313.84
  6. Step 6: Final answer
    x = 13,851.14

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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.