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Finding the Fourth Proportional to 6,245.78, 9,376.91 and 5,730.02

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Solution

The fourth proportional to 6,245.78, 9,376.91 and 5,730.02 is: 8,602.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,245.78 : 9,376.91 = 5,730.02 : x
  2. Step 2: Convert to fraction form
    6,245.78/9,376.91 = 5,730.02/x
  3. Step 3: Cross multiply
    6,245.78x = 9,376.91 × 5,730.02
  4. Step 4: Simplify right side
    6,245.78x = 53,729,806.30
  5. Step 5: Solve for x
    x = 53,729,806.30/6,245.78
  6. Step 6: Final answer
    x = 8,602.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.