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Finding the Fourth Proportional to 6,705.97, 9,254.48 and 4,052.86

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Solution

The fourth proportional to 6,705.97, 9,254.48 and 4,052.86 is: 5,593.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.97 : 9,254.48 = 4,052.86 : x
  2. Step 2: Convert to fraction form
    6,705.97/9,254.48 = 4,052.86/x
  3. Step 3: Cross multiply
    6,705.97x = 9,254.48 × 4,052.86
  4. Step 4: Simplify right side
    6,705.97x = 37,507,068.41
  5. Step 5: Solve for x
    x = 37,507,068.41/6,705.97
  6. Step 6: Final answer
    x = 5,593.09

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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.