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Finding the Fourth Proportional to 9,642.24, 14,446.20 and 6,714.84

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Solution

The fourth proportional to 9,642.24, 14,446.20 and 6,714.84 is: 10,060.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.24 : 14,446.20 = 6,714.84 : x
  2. Step 2: Convert to fraction form
    9,642.24/14,446.20 = 6,714.84/x
  3. Step 3: Cross multiply
    9,642.24x = 14,446.20 × 6,714.84
  4. Step 4: Simplify right side
    9,642.24x = 97,003,921.61
  5. Step 5: Solve for x
    x = 97,003,921.61/9,642.24
  6. Step 6: Final answer
    x = 10,060.31

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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.