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Finding the Fourth Proportional to 6,932.70, 9,544.96 and 5,610.78

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Solution

The fourth proportional to 6,932.70, 9,544.96 and 5,610.78 is: 7,724.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,932.70 : 9,544.96 = 5,610.78 : x
  2. Step 2: Convert to fraction form
    6,932.70/9,544.96 = 5,610.78/x
  3. Step 3: Cross multiply
    6,932.70x = 9,544.96 × 5,610.78
  4. Step 4: Simplify right side
    6,932.70x = 53,554,670.67
  5. Step 5: Solve for x
    x = 53,554,670.67/6,932.70
  6. Step 6: Final answer
    x = 7,724.94

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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.