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Finding the Fourth Proportional to 12,272.64, 16,935.66 and 6,966.72

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Solution

The fourth proportional to 12,272.64, 16,935.66 and 6,966.72 is: 9,613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,272.64 : 16,935.66 = 6,966.72 : x
  2. Step 2: Convert to fraction form
    12,272.64/16,935.66 = 6,966.72/x
  3. Step 3: Cross multiply
    12,272.64x = 16,935.66 × 6,966.72
  4. Step 4: Simplify right side
    12,272.64x = 117,986,001.24
  5. Step 5: Solve for x
    x = 117,986,001.24/12,272.64
  6. Step 6: Final answer
    x = 9,613.74

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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.