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Finding the Fourth Proportional to 9,959.68, 13,742.22 and 7,869.88

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Solution

The fourth proportional to 9,959.68, 13,742.22 and 7,869.88 is: 10,858.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,959.68 : 13,742.22 = 7,869.88 : x
  2. Step 2: Convert to fraction form
    9,959.68/13,742.22 = 7,869.88/x
  3. Step 3: Cross multiply
    9,959.68x = 13,742.22 × 7,869.88
  4. Step 4: Simplify right side
    9,959.68x = 108,149,622.33
  5. Step 5: Solve for x
    x = 108,149,622.33/9,959.68
  6. Step 6: Final answer
    x = 10,858.74

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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.