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Finding the Fourth Proportional to 9,714.20, 14,571.14 and 3,472.52

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Solution

The fourth proportional to 9,714.20, 14,571.14 and 3,472.52 is: 5,208.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.20 : 14,571.14 = 3,472.52 : x
  2. Step 2: Convert to fraction form
    9,714.20/14,571.14 = 3,472.52/x
  3. Step 3: Cross multiply
    9,714.20x = 14,571.14 × 3,472.52
  4. Step 4: Simplify right side
    9,714.20x = 50,598,575.07
  5. Step 5: Solve for x
    x = 50,598,575.07/9,714.20
  6. Step 6: Final answer
    x = 5,208.72

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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.