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Finding the Fourth Proportional to 9,748.74, 13,453.22 and 5,272.50

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Solution

The fourth proportional to 9,748.74, 13,453.22 and 5,272.50 is: 7,276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,748.74 : 13,453.22 = 5,272.50 : x
  2. Step 2: Convert to fraction form
    9,748.74/13,453.22 = 5,272.50/x
  3. Step 3: Cross multiply
    9,748.74x = 13,453.22 × 5,272.50
  4. Step 4: Simplify right side
    9,748.74x = 70,932,090.41
  5. Step 5: Solve for x
    x = 70,932,090.41/9,748.74
  6. Step 6: Final answer
    x = 7,276.02

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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.