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Finding the Fourth Proportional to 6,357.12, 9,537.52 and 2,657.44

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Solution

The fourth proportional to 6,357.12, 9,537.52 and 2,657.44 is: 3,986.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.12 : 9,537.52 = 2,657.44 : x
  2. Step 2: Convert to fraction form
    6,357.12/9,537.52 = 2,657.44/x
  3. Step 3: Cross multiply
    6,357.12x = 9,537.52 × 2,657.44
  4. Step 4: Simplify right side
    6,357.12x = 25,345,387.15
  5. Step 5: Solve for x
    x = 25,345,387.15/6,357.12
  6. Step 6: Final answer
    x = 3,986.93

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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.