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Finding the Fourth Proportional to 37,209.33, 55,814.10 and 9,129.54

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Solution

The fourth proportional to 37,209.33, 55,814.10 and 9,129.54 is: 13,694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,209.33 : 55,814.10 = 9,129.54 : x
  2. Step 2: Convert to fraction form
    37,209.33/55,814.10 = 9,129.54/x
  3. Step 3: Cross multiply
    37,209.33x = 55,814.10 × 9,129.54
  4. Step 4: Simplify right side
    37,209.33x = 509,557,058.51
  5. Step 5: Solve for x
    x = 509,557,058.51/37,209.33
  6. Step 6: Final answer
    x = 13,694.34

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