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Finding the Fourth Proportional to 6,451.86, 9,678.28 and 2,754.12

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Solution

The fourth proportional to 6,451.86, 9,678.28 and 2,754.12 is: 4,131.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.86 : 9,678.28 = 2,754.12 : x
  2. Step 2: Convert to fraction form
    6,451.86/9,678.28 = 2,754.12/x
  3. Step 3: Cross multiply
    6,451.86x = 9,678.28 × 2,754.12
  4. Step 4: Simplify right side
    6,451.86x = 26,655,144.51
  5. Step 5: Solve for x
    x = 26,655,144.51/6,451.86
  6. Step 6: Final answer
    x = 4,131.39

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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.