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Finding the Fourth Proportional to 6,852.89, 9,456.93 and 3,709.05

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Solution

The fourth proportional to 6,852.89, 9,456.93 and 3,709.05 is: 5,118.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,852.89 : 9,456.93 = 3,709.05 : x
  2. Step 2: Convert to fraction form
    6,852.89/9,456.93 = 3,709.05/x
  3. Step 3: Cross multiply
    6,852.89x = 9,456.93 × 3,709.05
  4. Step 4: Simplify right side
    6,852.89x = 35,076,226.22
  5. Step 5: Solve for x
    x = 35,076,226.22/6,852.89
  6. Step 6: Final answer
    x = 5,118.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.