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Finding the Fourth Proportional to 12,271.49, 16,934.74 and 6,966.39

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Solution

The fourth proportional to 12,271.49, 16,934.74 and 6,966.39 is: 9,613.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.49 : 16,934.74 = 6,966.39 : x
  2. Step 2: Convert to fraction form
    12,271.49/16,934.74 = 6,966.39/x
  3. Step 3: Cross multiply
    12,271.49x = 16,934.74 × 6,966.39
  4. Step 4: Simplify right side
    12,271.49x = 117,974,003.39
  5. Step 5: Solve for x
    x = 117,974,003.39/12,271.49
  6. Step 6: Final answer
    x = 9,613.67

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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.