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Finding the Fourth Proportional to 9,042.57, 13,554.57 and 3,780.66

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Solution

The fourth proportional to 9,042.57, 13,554.57 and 3,780.66 is: 5,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.57 : 13,554.57 = 3,780.66 : x
  2. Step 2: Convert to fraction form
    9,042.57/13,554.57 = 3,780.66/x
  3. Step 3: Cross multiply
    9,042.57x = 13,554.57 × 3,780.66
  4. Step 4: Simplify right side
    9,042.57x = 51,245,220.62
  5. Step 5: Solve for x
    x = 51,245,220.62/9,042.57
  6. Step 6: Final answer
    x = 5,667.11

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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.