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Finding the Fourth Proportional to 37,328.84, 55,993.82 and 9,249

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Solution

The fourth proportional to 37,328.84, 55,993.82 and 9,249 is: 13,873.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,328.84 : 55,993.82 = 9,249 : x
  2. Step 2: Convert to fraction form
    37,328.84/55,993.82 = 9,249/x
  3. Step 3: Cross multiply
    37,328.84x = 55,993.82 × 9,249
  4. Step 4: Simplify right side
    37,328.84x = 517,886,841.18
  5. Step 5: Solve for x
    x = 517,886,841.18/37,328.84
  6. Step 6: Final answer
    x = 13,873.64

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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.