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Finding the Fourth Proportional to 9,725.69, 13,421.61 and 5,897.22

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Solution

The fourth proportional to 9,725.69, 13,421.61 and 5,897.22 is: 8,138.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,725.69 : 13,421.61 = 5,897.22 : x
  2. Step 2: Convert to fraction form
    9,725.69/13,421.61 = 5,897.22/x
  3. Step 3: Cross multiply
    9,725.69x = 13,421.61 × 5,897.22
  4. Step 4: Simplify right side
    9,725.69x = 79,150,186.92
  5. Step 5: Solve for x
    x = 79,150,186.92/9,725.69
  6. Step 6: Final answer
    x = 8,138.26

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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.