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Finding the Fourth Proportional to 6,705.12, 9,253.32 and 4,052.02

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Solution

The fourth proportional to 6,705.12, 9,253.32 and 4,052.02 is: 5,591.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.12 : 9,253.32 = 4,052.02 : x
  2. Step 2: Convert to fraction form
    6,705.12/9,253.32 = 4,052.02/x
  3. Step 3: Cross multiply
    6,705.12x = 9,253.32 × 4,052.02
  4. Step 4: Simplify right side
    6,705.12x = 37,494,637.71
  5. Step 5: Solve for x
    x = 37,494,637.71/6,705.12
  6. Step 6: Final answer
    x = 5,591.94

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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.