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Finding the Fourth Proportional to 9,714.60, 14,552.70 and 5,324.20

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Solution

The fourth proportional to 9,714.60, 14,552.70 and 5,324.20 is: 7,975.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.60 : 14,552.70 = 5,324.20 : x
  2. Step 2: Convert to fraction form
    9,714.60/14,552.70 = 5,324.20/x
  3. Step 3: Cross multiply
    9,714.60x = 14,552.70 × 5,324.20
  4. Step 4: Simplify right side
    9,714.60x = 77,481,485.34
  5. Step 5: Solve for x
    x = 77,481,485.34/9,714.60
  6. Step 6: Final answer
    x = 7,975.78

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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.