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Finding the Fourth Proportional to 6,393.54, 9,584.16 and 3,275.02

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Solution

The fourth proportional to 6,393.54, 9,584.16 and 3,275.02 is: 4,909.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.54 : 9,584.16 = 3,275.02 : x
  2. Step 2: Convert to fraction form
    6,393.54/9,584.16 = 3,275.02/x
  3. Step 3: Cross multiply
    6,393.54x = 9,584.16 × 3,275.02
  4. Step 4: Simplify right side
    6,393.54x = 31,388,313.76
  5. Step 5: Solve for x
    x = 31,388,313.76/6,393.54
  6. Step 6: Final answer
    x = 4,909.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.