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Finding the Fourth Proportional to 6,304.23, 9,455.43 and 1,920.51

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Solution

The fourth proportional to 6,304.23, 9,455.43 and 1,920.51 is: 2,880.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,304.23 : 9,455.43 = 1,920.51 : x
  2. Step 2: Convert to fraction form
    6,304.23/9,455.43 = 1,920.51/x
  3. Step 3: Cross multiply
    6,304.23x = 9,455.43 × 1,920.51
  4. Step 4: Simplify right side
    6,304.23x = 18,159,255.07
  5. Step 5: Solve for x
    x = 18,159,255.07/6,304.23
  6. Step 6: Final answer
    x = 2,880.49

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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.