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Finding the Fourth Proportional to 9,710.70, 13,397.31 and 5,729.82

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Solution

The fourth proportional to 9,710.70, 13,397.31 and 5,729.82 is: 7,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.70 : 13,397.31 = 5,729.82 : x
  2. Step 2: Convert to fraction form
    9,710.70/13,397.31 = 5,729.82/x
  3. Step 3: Cross multiply
    9,710.70x = 13,397.31 × 5,729.82
  4. Step 4: Simplify right side
    9,710.70x = 76,764,174.78
  5. Step 5: Solve for x
    x = 76,764,174.78/9,710.70
  6. Step 6: Final answer
    x = 7,905.11

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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.