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Finding the Fourth Proportional to 8,973.64, 13,462.59 and 2,817.64

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Solution

The fourth proportional to 8,973.64, 13,462.59 and 2,817.64 is: 4,227.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.64 : 13,462.59 = 2,817.64 : x
  2. Step 2: Convert to fraction form
    8,973.64/13,462.59 = 2,817.64/x
  3. Step 3: Cross multiply
    8,973.64x = 13,462.59 × 2,817.64
  4. Step 4: Simplify right side
    8,973.64x = 37,932,732.09
  5. Step 5: Solve for x
    x = 37,932,732.09/8,973.64
  6. Step 6: Final answer
    x = 4,227.13

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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.