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Finding the Fourth Proportional to 9,852.07, 13,595.64 and 5,601.09

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Solution

The fourth proportional to 9,852.07, 13,595.64 and 5,601.09 is: 7,729.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.07 : 13,595.64 = 5,601.09 : x
  2. Step 2: Convert to fraction form
    9,852.07/13,595.64 = 5,601.09/x
  3. Step 3: Cross multiply
    9,852.07x = 13,595.64 × 5,601.09
  4. Step 4: Simplify right side
    9,852.07x = 76,150,403.25
  5. Step 5: Solve for x
    x = 76,150,403.25/9,852.07
  6. Step 6: Final answer
    x = 7,729.38

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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.