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Finding the Fourth Proportional to 9,748.62, 13,453.05 and 5,272.37

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Solution

The fourth proportional to 9,748.62, 13,453.05 and 5,272.37 is: 7,275.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.62 : 13,453.05 = 5,272.37 : x
  2. Step 2: Convert to fraction form
    9,748.62/13,453.05 = 5,272.37/x
  3. Step 3: Cross multiply
    9,748.62x = 13,453.05 × 5,272.37
  4. Step 4: Simplify right side
    9,748.62x = 70,929,457.23
  5. Step 5: Solve for x
    x = 70,929,457.23/9,748.62
  6. Step 6: Final answer
    x = 7,275.85

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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.