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Finding the Fourth Proportional to 12,271.52, 16,934.94 and 6,966.34

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Solution

The fourth proportional to 12,271.52, 16,934.94 and 6,966.34 is: 9,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.52 : 16,934.94 = 6,966.34 : x
  2. Step 2: Convert to fraction form
    12,271.52/16,934.94 = 6,966.34/x
  3. Step 3: Cross multiply
    12,271.52x = 16,934.94 × 6,966.34
  4. Step 4: Simplify right side
    12,271.52x = 117,974,507.58
  5. Step 5: Solve for x
    x = 117,974,507.58/12,271.52
  6. Step 6: Final answer
    x = 9,613.68

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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.