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Finding the Fourth Proportional to 12,275.22, 16,939.26 and 6,969.96

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Solution

The fourth proportional to 12,275.22, 16,939.26 and 6,969.96 is: 9,618.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,275.22 : 16,939.26 = 6,969.96 : x
  2. Step 2: Convert to fraction form
    12,275.22/16,939.26 = 6,969.96/x
  3. Step 3: Cross multiply
    12,275.22x = 16,939.26 × 6,969.96
  4. Step 4: Simplify right side
    12,275.22x = 118,065,964.63
  5. Step 5: Solve for x
    x = 118,065,964.63/12,275.22
  6. Step 6: Final answer
    x = 9,618.24

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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.