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Finding the Fourth Proportional to 9,014.63, 12,448.71 and 8,523.77

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Solution

The fourth proportional to 9,014.63, 12,448.71 and 8,523.77 is: 11,770.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.63 : 12,448.71 = 8,523.77 : x
  2. Step 2: Convert to fraction form
    9,014.63/12,448.71 = 8,523.77/x
  3. Step 3: Cross multiply
    9,014.63x = 12,448.71 × 8,523.77
  4. Step 4: Simplify right side
    9,014.63x = 106,109,940.84
  5. Step 5: Solve for x
    x = 106,109,940.84/9,014.63
  6. Step 6: Final answer
    x = 11,770.86

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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.