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Finding the Fourth Proportional to 9,602.33, 14,410.04 and 5,893.25

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Solution

The fourth proportional to 9,602.33, 14,410.04 and 5,893.25 is: 8,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.33 : 14,410.04 = 5,893.25 : x
  2. Step 2: Convert to fraction form
    9,602.33/14,410.04 = 5,893.25/x
  3. Step 3: Cross multiply
    9,602.33x = 14,410.04 × 5,893.25
  4. Step 4: Simplify right side
    9,602.33x = 84,921,866.71
  5. Step 5: Solve for x
    x = 84,921,866.71/9,602.33
  6. Step 6: Final answer
    x = 8,843.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.