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Finding the Fourth Proportional to 6,374.94, 9,562.77 and 2,677.34

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Solution

The fourth proportional to 6,374.94, 9,562.77 and 2,677.34 is: 4,016.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.94 : 9,562.77 = 2,677.34 : x
  2. Step 2: Convert to fraction form
    6,374.94/9,562.77 = 2,677.34/x
  3. Step 3: Cross multiply
    6,374.94x = 9,562.77 × 2,677.34
  4. Step 4: Simplify right side
    6,374.94x = 25,602,738.82
  5. Step 5: Solve for x
    x = 25,602,738.82/6,374.94
  6. Step 6: Final answer
    x = 4,016.15

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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.