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Finding the Fourth Proportional to 9,928.68, 13,698.96 and 5,894.44

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Solution

The fourth proportional to 9,928.68, 13,698.96 and 5,894.44 is: 8,132.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.68 : 13,698.96 = 5,894.44 : x
  2. Step 2: Convert to fraction form
    9,928.68/13,698.96 = 5,894.44/x
  3. Step 3: Cross multiply
    9,928.68x = 13,698.96 × 5,894.44
  4. Step 4: Simplify right side
    9,928.68x = 80,747,641.43
  5. Step 5: Solve for x
    x = 80,747,641.43/9,928.68
  6. Step 6: Final answer
    x = 8,132.77

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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.