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Finding the Fourth Proportional to 12,267.63, 16,928.69 and 6,964.16

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Solution

The fourth proportional to 12,267.63, 16,928.69 and 6,964.16 is: 9,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,267.63 : 16,928.69 = 6,964.16 : x
  2. Step 2: Convert to fraction form
    12,267.63/16,928.69 = 6,964.16/x
  3. Step 3: Cross multiply
    12,267.63x = 16,928.69 × 6,964.16
  4. Step 4: Simplify right side
    12,267.63x = 117,893,986.29
  5. Step 5: Solve for x
    x = 117,893,986.29/12,267.63
  6. Step 6: Final answer
    x = 9,610.17

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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.