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Finding the Fourth Proportional to 9,744.63, 13,451.85 and 6,212.49

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Solution

The fourth proportional to 9,744.63, 13,451.85 and 6,212.49 is: 8,575.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.63 : 13,451.85 = 6,212.49 : x
  2. Step 2: Convert to fraction form
    9,744.63/13,451.85 = 6,212.49/x
  3. Step 3: Cross multiply
    9,744.63x = 13,451.85 × 6,212.49
  4. Step 4: Simplify right side
    9,744.63x = 83,569,483.61
  5. Step 5: Solve for x
    x = 83,569,483.61/9,744.63
  6. Step 6: Final answer
    x = 8,575.95

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