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Finding the Fourth Proportional to 9,714.04, 14,546.35 and 6,422.20

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Solution

The fourth proportional to 9,714.04, 14,546.35 and 6,422.20 is: 9,616.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.04 : 14,546.35 = 6,422.20 : x
  2. Step 2: Convert to fraction form
    9,714.04/14,546.35 = 6,422.20/x
  3. Step 3: Cross multiply
    9,714.04x = 14,546.35 × 6,422.20
  4. Step 4: Simplify right side
    9,714.04x = 93,419,568.97
  5. Step 5: Solve for x
    x = 93,419,568.97/9,714.04
  6. Step 6: Final answer
    x = 9,616.96

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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.