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Finding the Fourth Proportional to 36,909, 55,363.50 and 9,207

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Solution

The fourth proportional to 36,909, 55,363.50 and 9,207 is: 13,810.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,909 : 55,363.50 = 9,207 : x
  2. Step 2: Convert to fraction form
    36,909/55,363.50 = 9,207/x
  3. Step 3: Cross multiply
    36,909x = 55,363.50 × 9,207
  4. Step 4: Simplify right side
    36,909x = 509,731,744.50
  5. Step 5: Solve for x
    x = 509,731,744.50/36,909
  6. Step 6: Final answer
    x = 13,810.50

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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.