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Finding the Fourth Proportional to 9,233.30, 12,742.08 and 5,254.44

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Solution

The fourth proportional to 9,233.30, 12,742.08 and 5,254.44 is: 7,251.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.30 : 12,742.08 = 5,254.44 : x
  2. Step 2: Convert to fraction form
    9,233.30/12,742.08 = 5,254.44/x
  3. Step 3: Cross multiply
    9,233.30x = 12,742.08 × 5,254.44
  4. Step 4: Simplify right side
    9,233.30x = 66,952,494.84
  5. Step 5: Solve for x
    x = 66,952,494.84/9,233.30
  6. Step 6: Final answer
    x = 7,251.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.