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Finding the Fourth Proportional to 6,908.40, 9,533.48 and 3,764.52

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Solution

The fourth proportional to 6,908.40, 9,533.48 and 3,764.52 is: 5,194.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,908.40 : 9,533.48 = 3,764.52 : x
  2. Step 2: Convert to fraction form
    6,908.40/9,533.48 = 3,764.52/x
  3. Step 3: Cross multiply
    6,908.40x = 9,533.48 × 3,764.52
  4. Step 4: Simplify right side
    6,908.40x = 35,888,976.13
  5. Step 5: Solve for x
    x = 35,888,976.13/6,908.40
  6. Step 6: Final answer
    x = 5,194.98

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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.