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Finding the Fourth Proportional to 9,748.84, 13,453.07 and 5,500.04

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Solution

The fourth proportional to 9,748.84, 13,453.07 and 5,500.04 is: 7,589.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.84 : 13,453.07 = 5,500.04 : x
  2. Step 2: Convert to fraction form
    9,748.84/13,453.07 = 5,500.04/x
  3. Step 3: Cross multiply
    9,748.84x = 13,453.07 × 5,500.04
  4. Step 4: Simplify right side
    9,748.84x = 73,992,423.12
  5. Step 5: Solve for x
    x = 73,992,423.12/9,748.84
  6. Step 6: Final answer
    x = 7,589.87

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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.