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Finding the Fourth Proportional to 12,271.55, 16,934.82 and 6,966.46

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Solution

The fourth proportional to 12,271.55, 16,934.82 and 6,966.46 is: 9,613.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,271.55 : 16,934.82 = 6,966.46 : x
  2. Step 2: Convert to fraction form
    12,271.55/16,934.82 = 6,966.46/x
  3. Step 3: Cross multiply
    12,271.55x = 16,934.82 × 6,966.46
  4. Step 4: Simplify right side
    12,271.55x = 117,975,661.46
  5. Step 5: Solve for x
    x = 117,975,661.46/12,271.55
  6. Step 6: Final answer
    x = 9,613.75

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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.