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Finding the Fourth Proportional to 9,672.20, 14,523.15 and 5,298.20

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Solution

The fourth proportional to 9,672.20, 14,523.15 and 5,298.20 is: 7,955.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.20 : 14,523.15 = 5,298.20 : x
  2. Step 2: Convert to fraction form
    9,672.20/14,523.15 = 5,298.20/x
  3. Step 3: Cross multiply
    9,672.20x = 14,523.15 × 5,298.20
  4. Step 4: Simplify right side
    9,672.20x = 76,946,553.33
  5. Step 5: Solve for x
    x = 76,946,553.33/9,672.20
  6. Step 6: Final answer
    x = 7,955.43

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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.