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Finding the Fourth Proportional to 9,710.44, 13,397.22 and 5,932.24

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Solution

The fourth proportional to 9,710.44, 13,397.22 and 5,932.24 is: 8,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.44 : 13,397.22 = 5,932.24 : x
  2. Step 2: Convert to fraction form
    9,710.44/13,397.22 = 5,932.24/x
  3. Step 3: Cross multiply
    9,710.44x = 13,397.22 × 5,932.24
  4. Step 4: Simplify right side
    9,710.44x = 79,475,524.37
  5. Step 5: Solve for x
    x = 79,475,524.37/9,710.44
  6. Step 6: Final answer
    x = 8,184.54

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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.