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Finding the Fourth Proportional to 8,957.82, 13,443.74 and 6,203.81

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Solution

The fourth proportional to 8,957.82, 13,443.74 and 6,203.81 is: 9,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.82 : 13,443.74 = 6,203.81 : x
  2. Step 2: Convert to fraction form
    8,957.82/13,443.74 = 6,203.81/x
  3. Step 3: Cross multiply
    8,957.82x = 13,443.74 × 6,203.81
  4. Step 4: Simplify right side
    8,957.82x = 83,402,310.41
  5. Step 5: Solve for x
    x = 83,402,310.41/8,957.82
  6. Step 6: Final answer
    x = 9,310.56

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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.