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Finding the Fourth Proportional to 7,052.12, 9,729.96 and 4,697.72

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Solution

The fourth proportional to 7,052.12, 9,729.96 and 4,697.72 is: 6,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.12 : 9,729.96 = 4,697.72 : x
  2. Step 2: Convert to fraction form
    7,052.12/9,729.96 = 4,697.72/x
  3. Step 3: Cross multiply
    7,052.12x = 9,729.96 × 4,697.72
  4. Step 4: Simplify right side
    7,052.12x = 45,708,627.69
  5. Step 5: Solve for x
    x = 45,708,627.69/7,052.12
  6. Step 6: Final answer
    x = 6,481.54

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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.