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Finding the Fourth Proportional to 6,845.32, 9,451.90 and 5,357.48

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Solution

The fourth proportional to 6,845.32, 9,451.90 and 5,357.48 is: 7,397.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845.32 : 9,451.90 = 5,357.48 : x
  2. Step 2: Convert to fraction form
    6,845.32/9,451.90 = 5,357.48/x
  3. Step 3: Cross multiply
    6,845.32x = 9,451.90 × 5,357.48
  4. Step 4: Simplify right side
    6,845.32x = 50,638,365.21
  5. Step 5: Solve for x
    x = 50,638,365.21/6,845.32
  6. Step 6: Final answer
    x = 7,397.52

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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.