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Finding the Fourth Proportional to 8,937.84, 12,334.14 and 5,161.80

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Solution

The fourth proportional to 8,937.84, 12,334.14 and 5,161.80 is: 7,123.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,937.84 : 12,334.14 = 5,161.80 : x
  2. Step 2: Convert to fraction form
    8,937.84/12,334.14 = 5,161.80/x
  3. Step 3: Cross multiply
    8,937.84x = 12,334.14 × 5,161.80
  4. Step 4: Simplify right side
    8,937.84x = 63,666,363.85
  5. Step 5: Solve for x
    x = 63,666,363.85/8,937.84
  6. Step 6: Final answer
    x = 7,123.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.