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Finding the Fourth Proportional to 6,848.69, 9,451.18 and 3,704.87

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Solution

The fourth proportional to 6,848.69, 9,451.18 and 3,704.87 is: 5,112.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.69 : 9,451.18 = 3,704.87 : x
  2. Step 2: Convert to fraction form
    6,848.69/9,451.18 = 3,704.87/x
  3. Step 3: Cross multiply
    6,848.69x = 9,451.18 × 3,704.87
  4. Step 4: Simplify right side
    6,848.69x = 35,015,421.51
  5. Step 5: Solve for x
    x = 35,015,421.51/6,848.69
  6. Step 6: Final answer
    x = 5,112.72

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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.