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Finding the Fourth Proportional to 12,266.64, 16,927.38 and 6,960.74

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Solution

The fourth proportional to 12,266.64, 16,927.38 and 6,960.74 is: 9,605.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,266.64 : 16,927.38 = 6,960.74 : x
  2. Step 2: Convert to fraction form
    12,266.64/16,927.38 = 6,960.74/x
  3. Step 3: Cross multiply
    12,266.64x = 16,927.38 × 6,960.74
  4. Step 4: Simplify right side
    12,266.64x = 117,827,006.42
  5. Step 5: Solve for x
    x = 117,827,006.42/12,266.64
  6. Step 6: Final answer
    x = 9,605.48

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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.