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Finding the Fourth Proportional to 6,928.80, 9,564 and 5,166.24

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Solution

The fourth proportional to 6,928.80, 9,564 and 5,166.24 is: 7,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.80 : 9,564 = 5,166.24 : x
  2. Step 2: Convert to fraction form
    6,928.80/9,564 = 5,166.24/x
  3. Step 3: Cross multiply
    6,928.80x = 9,564 × 5,166.24
  4. Step 4: Simplify right side
    6,928.80x = 49,409,919.36
  5. Step 5: Solve for x
    x = 49,409,919.36/6,928.80
  6. Step 6: Final answer
    x = 7,131.09

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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.