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Finding the Fourth Proportional to 8,950.25, 12,351.65 and 4,971.43

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Solution

The fourth proportional to 8,950.25, 12,351.65 and 4,971.43 is: 6,860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,950.25 : 12,351.65 = 4,971.43 : x
  2. Step 2: Convert to fraction form
    8,950.25/12,351.65 = 4,971.43/x
  3. Step 3: Cross multiply
    8,950.25x = 12,351.65 × 4,971.43
  4. Step 4: Simplify right side
    8,950.25x = 61,405,363.36
  5. Step 5: Solve for x
    x = 61,405,363.36/8,950.25
  6. Step 6: Final answer
    x = 6,860.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.