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Finding the Fourth Proportional to 9,819.41, 14,729.11 and 8,084.39

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Solution

The fourth proportional to 9,819.41, 14,729.11 and 8,084.39 is: 12,126.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.41 : 14,729.11 = 8,084.39 : x
  2. Step 2: Convert to fraction form
    9,819.41/14,729.11 = 8,084.39/x
  3. Step 3: Cross multiply
    9,819.41x = 14,729.11 × 8,084.39
  4. Step 4: Simplify right side
    9,819.41x = 119,075,775.74
  5. Step 5: Solve for x
    x = 119,075,775.74/9,819.41
  6. Step 6: Final answer
    x = 12,126.58

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Similar ratio
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1.5x scale

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.