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Finding the Fourth Proportional to 9,811.28, 13,531.56 and 7,922.32

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Solution

The fourth proportional to 9,811.28, 13,531.56 and 7,922.32 is: 10,926.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.28 : 13,531.56 = 7,922.32 : x
  2. Step 2: Convert to fraction form
    9,811.28/13,531.56 = 7,922.32/x
  3. Step 3: Cross multiply
    9,811.28x = 13,531.56 × 7,922.32
  4. Step 4: Simplify right side
    9,811.28x = 107,201,348.42
  5. Step 5: Solve for x
    x = 107,201,348.42/9,811.28
  6. Step 6: Final answer
    x = 10,926.34

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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.