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Finding the Fourth Proportional to 6,928.94, 9,574.17 and 5,133.85

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Solution

The fourth proportional to 6,928.94, 9,574.17 and 5,133.85 is: 7,093.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,928.94 : 9,574.17 = 5,133.85 : x
  2. Step 2: Convert to fraction form
    6,928.94/9,574.17 = 5,133.85/x
  3. Step 3: Cross multiply
    6,928.94x = 9,574.17 × 5,133.85
  4. Step 4: Simplify right side
    6,928.94x = 49,152,309.47
  5. Step 5: Solve for x
    x = 49,152,309.47/6,928.94
  6. Step 6: Final answer
    x = 7,093.77

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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.