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Finding the Fourth Proportional to 9,131.54, 13,698.82 and 3,206.89

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Solution

The fourth proportional to 9,131.54, 13,698.82 and 3,206.89 is: 4,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.54 : 13,698.82 = 3,206.89 : x
  2. Step 2: Convert to fraction form
    9,131.54/13,698.82 = 3,206.89/x
  3. Step 3: Cross multiply
    9,131.54x = 13,698.82 × 3,206.89
  4. Step 4: Simplify right side
    9,131.54x = 43,930,566.61
  5. Step 5: Solve for x
    x = 43,930,566.61/9,131.54
  6. Step 6: Final answer
    x = 4,810.86

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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.