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Finding the Fourth Proportional to 9,042.90, 13,555.02 and 3,780.99

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Solution

The fourth proportional to 9,042.90, 13,555.02 and 3,780.99 is: 5,667.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.90 : 13,555.02 = 3,780.99 : x
  2. Step 2: Convert to fraction form
    9,042.90/13,555.02 = 3,780.99/x
  3. Step 3: Cross multiply
    9,042.90x = 13,555.02 × 3,780.99
  4. Step 4: Simplify right side
    9,042.90x = 51,251,395.07
  5. Step 5: Solve for x
    x = 51,251,395.07/9,042.90
  6. Step 6: Final answer
    x = 5,667.58

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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.