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Finding the Fourth Proportional to 6,928.68, 9,556.14 and 6,132.84

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Solution

The fourth proportional to 6,928.68, 9,556.14 and 6,132.84 is: 8,458.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.68 : 9,556.14 = 6,132.84 : x
  2. Step 2: Convert to fraction form
    6,928.68/9,556.14 = 6,132.84/x
  3. Step 3: Cross multiply
    6,928.68x = 9,556.14 × 6,132.84
  4. Step 4: Simplify right side
    6,928.68x = 58,606,277.64
  5. Step 5: Solve for x
    x = 58,606,277.64/6,928.68
  6. Step 6: Final answer
    x = 8,458.51

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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.