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Finding the Fourth Proportional to 8,973, 13,461.66 and 2,817

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Solution

The fourth proportional to 8,973, 13,461.66 and 2,817 is: 4,226.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973 : 13,461.66 = 2,817 : x
  2. Step 2: Convert to fraction form
    8,973/13,461.66 = 2,817/x
  3. Step 3: Cross multiply
    8,973x = 13,461.66 × 2,817
  4. Step 4: Simplify right side
    8,973x = 37,921,496.22
  5. Step 5: Solve for x
    x = 37,921,496.22/8,973
  6. Step 6: Final answer
    x = 4,226.18

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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.