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Finding the Fourth Proportional to 6,848.56, 9,451.02 and 4,331.76

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Solution

The fourth proportional to 6,848.56, 9,451.02 and 4,331.76 is: 5,977.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.56 : 9,451.02 = 4,331.76 : x
  2. Step 2: Convert to fraction form
    6,848.56/9,451.02 = 4,331.76/x
  3. Step 3: Cross multiply
    6,848.56x = 9,451.02 × 4,331.76
  4. Step 4: Simplify right side
    6,848.56x = 40,939,550.40
  5. Step 5: Solve for x
    x = 40,939,550.40/6,848.56
  6. Step 6: Final answer
    x = 5,977.83

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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.