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Finding the Fourth Proportional to 6,652.69, 9,181.33 and 3,820.46

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Solution

The fourth proportional to 6,652.69, 9,181.33 and 3,820.46 is: 5,272.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,652.69 : 9,181.33 = 3,820.46 : x
  2. Step 2: Convert to fraction form
    6,652.69/9,181.33 = 3,820.46/x
  3. Step 3: Cross multiply
    6,652.69x = 9,181.33 × 3,820.46
  4. Step 4: Simplify right side
    6,652.69x = 35,076,848.55
  5. Step 5: Solve for x
    x = 35,076,848.55/6,652.69
  6. Step 6: Final answer
    x = 5,272.58

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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.