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Finding the Fourth Proportional to 9,906.81, 13,670.60 and 5,714.25

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Solution

The fourth proportional to 9,906.81, 13,670.60 and 5,714.25 is: 7,885.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,906.81 : 13,670.60 = 5,714.25 : x
  2. Step 2: Convert to fraction form
    9,906.81/13,670.60 = 5,714.25/x
  3. Step 3: Cross multiply
    9,906.81x = 13,670.60 × 5,714.25
  4. Step 4: Simplify right side
    9,906.81x = 78,117,226.05
  5. Step 5: Solve for x
    x = 78,117,226.05/9,906.81
  6. Step 6: Final answer
    x = 7,885.20

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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.