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Finding the Fourth Proportional to 9,748.97, 14,643.23 and 8,604.84

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Solution

The fourth proportional to 9,748.97, 14,643.23 and 8,604.84 is: 12,924.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.97 : 14,643.23 = 8,604.84 : x
  2. Step 2: Convert to fraction form
    9,748.97/14,643.23 = 8,604.84/x
  3. Step 3: Cross multiply
    9,748.97x = 14,643.23 × 8,604.84
  4. Step 4: Simplify right side
    9,748.97x = 126,002,608.21
  5. Step 5: Solve for x
    x = 126,002,608.21/9,748.97
  6. Step 6: Final answer
    x = 12,924.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.