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Finding the Fourth Proportional to 9,232.84, 12,741.60 and 5,254.53

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Solution

The fourth proportional to 9,232.84, 12,741.60 and 5,254.53 is: 7,251.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.84 : 12,741.60 = 5,254.53 : x
  2. Step 2: Convert to fraction form
    9,232.84/12,741.60 = 5,254.53/x
  3. Step 3: Cross multiply
    9,232.84x = 12,741.60 × 5,254.53
  4. Step 4: Simplify right side
    9,232.84x = 66,951,119.45
  5. Step 5: Solve for x
    x = 66,951,119.45/9,232.84
  6. Step 6: Final answer
    x = 7,251.41

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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.