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Finding the Fourth Proportional to 9,232.50, 12,741.30 and 5,254.32

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Solution

The fourth proportional to 9,232.50, 12,741.30 and 5,254.32 is: 7,251.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.50 : 12,741.30 = 5,254.32 : x
  2. Step 2: Convert to fraction form
    9,232.50/12,741.30 = 5,254.32/x
  3. Step 3: Cross multiply
    9,232.50x = 12,741.30 × 5,254.32
  4. Step 4: Simplify right side
    9,232.50x = 66,946,867.42
  5. Step 5: Solve for x
    x = 66,946,867.42/9,232.50
  6. Step 6: Final answer
    x = 7,251.22

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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.