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Finding the Fourth Proportional to 9,342.10, 12,879.70 and 7,742.76

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Solution

The fourth proportional to 9,342.10, 12,879.70 and 7,742.76 is: 10,674.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.10 : 12,879.70 = 7,742.76 : x
  2. Step 2: Convert to fraction form
    9,342.10/12,879.70 = 7,742.76/x
  3. Step 3: Cross multiply
    9,342.10x = 12,879.70 × 7,742.76
  4. Step 4: Simplify right side
    9,342.10x = 99,724,425.97
  5. Step 5: Solve for x
    x = 99,724,425.97/9,342.10
  6. Step 6: Final answer
    x = 10,674.73

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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.