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Finding the Fourth Proportional to 6,848.06, 9,450.32 and 3,704.25

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Solution

The fourth proportional to 6,848.06, 9,450.32 and 3,704.25 is: 5,111.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.06 : 9,450.32 = 3,704.25 : x
  2. Step 2: Convert to fraction form
    6,848.06/9,450.32 = 3,704.25/x
  3. Step 3: Cross multiply
    6,848.06x = 9,450.32 × 3,704.25
  4. Step 4: Simplify right side
    6,848.06x = 35,006,347.86
  5. Step 5: Solve for x
    x = 35,006,347.86/6,848.06
  6. Step 6: Final answer
    x = 5,111.86

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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.