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Finding the Fourth Proportional to 9,186.86, 13,780.30 and 3,343.52

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Solution

The fourth proportional to 9,186.86, 13,780.30 and 3,343.52 is: 5,015.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,186.86 : 13,780.30 = 3,343.52 : x
  2. Step 2: Convert to fraction form
    9,186.86/13,780.30 = 3,343.52/x
  3. Step 3: Cross multiply
    9,186.86x = 13,780.30 × 3,343.52
  4. Step 4: Simplify right side
    9,186.86x = 46,074,708.66
  5. Step 5: Solve for x
    x = 46,074,708.66/9,186.86
  6. Step 6: Final answer
    x = 5,015.28

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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.