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Finding the Fourth Proportional to 9,835.36, 13,573.14 and 5,359.48

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Solution

The fourth proportional to 9,835.36, 13,573.14 and 5,359.48 is: 7,396.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.36 : 13,573.14 = 5,359.48 : x
  2. Step 2: Convert to fraction form
    9,835.36/13,573.14 = 5,359.48/x
  3. Step 3: Cross multiply
    9,835.36x = 13,573.14 × 5,359.48
  4. Step 4: Simplify right side
    9,835.36x = 72,744,972.37
  5. Step 5: Solve for x
    x = 72,744,972.37/9,835.36
  6. Step 6: Final answer
    x = 7,396.27

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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.