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Finding the Fourth Proportional to 9,185.78, 13,780.44 and 3,920.70

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Solution

The fourth proportional to 9,185.78, 13,780.44 and 3,920.70 is: 5,881.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.78 : 13,780.44 = 3,920.70 : x
  2. Step 2: Convert to fraction form
    9,185.78/13,780.44 = 3,920.70/x
  3. Step 3: Cross multiply
    9,185.78x = 13,780.44 × 3,920.70
  4. Step 4: Simplify right side
    9,185.78x = 54,028,971.11
  5. Step 5: Solve for x
    x = 54,028,971.11/9,185.78
  6. Step 6: Final answer
    x = 5,881.81

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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.