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Finding the Fourth Proportional to 6,384.99, 9,568.73 and 3,258.42

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Solution

The fourth proportional to 6,384.99, 9,568.73 and 3,258.42 is: 4,883.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.99 : 9,568.73 = 3,258.42 : x
  2. Step 2: Convert to fraction form
    6,384.99/9,568.73 = 3,258.42/x
  3. Step 3: Cross multiply
    6,384.99x = 9,568.73 × 3,258.42
  4. Step 4: Simplify right side
    6,384.99x = 31,178,924.91
  5. Step 5: Solve for x
    x = 31,178,924.91/6,384.99
  6. Step 6: Final answer
    x = 4,883.16

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Why These Related Problems?

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