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Finding the Fourth Proportional to 37,314.84, 55,972.82 and 9,235

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Solution

The fourth proportional to 37,314.84, 55,972.82 and 9,235 is: 13,852.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,314.84 : 55,972.82 = 9,235 : x
  2. Step 2: Convert to fraction form
    37,314.84/55,972.82 = 9,235/x
  3. Step 3: Cross multiply
    37,314.84x = 55,972.82 × 9,235
  4. Step 4: Simplify right side
    37,314.84x = 516,908,992.70
  5. Step 5: Solve for x
    x = 516,908,992.70/37,314.84
  6. Step 6: Final answer
    x = 13,852.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.