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Finding the Fourth Proportional to 6,323.47, 9,478 and 3,952.64

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Solution

The fourth proportional to 6,323.47, 9,478 and 3,952.64 is: 5,924.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.47 : 9,478 = 3,952.64 : x
  2. Step 2: Convert to fraction form
    6,323.47/9,478 = 3,952.64/x
  3. Step 3: Cross multiply
    6,323.47x = 9,478 × 3,952.64
  4. Step 4: Simplify right side
    6,323.47x = 37,463,121.92
  5. Step 5: Solve for x
    x = 37,463,121.92/6,323.47
  6. Step 6: Final answer
    x = 5,924.46

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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.