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Finding the Fourth Proportional to 6,705.52, 9,253.86 and 4,052.42

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Solution

The fourth proportional to 6,705.52, 9,253.86 and 4,052.42 is: 5,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.52 : 9,253.86 = 4,052.42 : x
  2. Step 2: Convert to fraction form
    6,705.52/9,253.86 = 4,052.42/x
  3. Step 3: Cross multiply
    6,705.52x = 9,253.86 × 4,052.42
  4. Step 4: Simplify right side
    6,705.52x = 37,500,527.34
  5. Step 5: Solve for x
    x = 37,500,527.34/6,705.52
  6. Step 6: Final answer
    x = 5,592.49

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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.