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Finding the Fourth Proportional to 6,366.52, 8,784.75 and 3,848.23

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Solution

The fourth proportional to 6,366.52, 8,784.75 and 3,848.23 is: 5,309.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,366.52 : 8,784.75 = 3,848.23 : x
  2. Step 2: Convert to fraction form
    6,366.52/8,784.75 = 3,848.23/x
  3. Step 3: Cross multiply
    6,366.52x = 8,784.75 × 3,848.23
  4. Step 4: Simplify right side
    6,366.52x = 33,805,738.49
  5. Step 5: Solve for x
    x = 33,805,738.49/6,366.52
  6. Step 6: Final answer
    x = 5,309.92

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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.