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Finding the Fourth Proportional to 9,402.46, 14,094.54 and 5,238.64

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Solution

The fourth proportional to 9,402.46, 14,094.54 and 5,238.64 is: 7,852.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.46 : 14,094.54 = 5,238.64 : x
  2. Step 2: Convert to fraction form
    9,402.46/14,094.54 = 5,238.64/x
  3. Step 3: Cross multiply
    9,402.46x = 14,094.54 × 5,238.64
  4. Step 4: Simplify right side
    9,402.46x = 73,836,221.03
  5. Step 5: Solve for x
    x = 73,836,221.03/9,402.46
  6. Step 6: Final answer
    x = 7,852.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.