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Finding the Fourth Proportional to 9,835.92, 13,573.62 and 5,359.68

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Solution

The fourth proportional to 9,835.92, 13,573.62 and 5,359.68 is: 7,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.92 : 13,573.62 = 5,359.68 : x
  2. Step 2: Convert to fraction form
    9,835.92/13,573.62 = 5,359.68/x
  3. Step 3: Cross multiply
    9,835.92x = 13,573.62 × 5,359.68
  4. Step 4: Simplify right side
    9,835.92x = 72,750,259.64
  5. Step 5: Solve for x
    x = 72,750,259.64/9,835.92
  6. Step 6: Final answer
    x = 7,396.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.