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Finding the Fourth Proportional to 9,906.40, 13,672.20 and 5,714.56

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Solution

The fourth proportional to 9,906.40, 13,672.20 and 5,714.56 is: 7,886.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.40 : 13,672.20 = 5,714.56 : x
  2. Step 2: Convert to fraction form
    9,906.40/13,672.20 = 5,714.56/x
  3. Step 3: Cross multiply
    9,906.40x = 13,672.20 × 5,714.56
  4. Step 4: Simplify right side
    9,906.40x = 78,130,607.23
  5. Step 5: Solve for x
    x = 78,130,607.23/9,906.40
  6. Step 6: Final answer
    x = 7,886.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.