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Finding the Fourth Proportional to 6,743.58, 9,305.72 and 5,151.32

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Solution

The fourth proportional to 6,743.58, 9,305.72 and 5,151.32 is: 7,108.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.58 : 9,305.72 = 5,151.32 : x
  2. Step 2: Convert to fraction form
    6,743.58/9,305.72 = 5,151.32/x
  3. Step 3: Cross multiply
    6,743.58x = 9,305.72 × 5,151.32
  4. Step 4: Simplify right side
    6,743.58x = 47,936,741.55
  5. Step 5: Solve for x
    x = 47,936,741.55/6,743.58
  6. Step 6: Final answer
    x = 7,108.50

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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.