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Finding the Fourth Proportional to 9,451.77, 13,046.31 and 5,473.86

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Solution

The fourth proportional to 9,451.77, 13,046.31 and 5,473.86 is: 7,555.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,451.77 : 13,046.31 = 5,473.86 : x
  2. Step 2: Convert to fraction form
    9,451.77/13,046.31 = 5,473.86/x
  3. Step 3: Cross multiply
    9,451.77x = 13,046.31 × 5,473.86
  4. Step 4: Simplify right side
    9,451.77x = 71,413,674.46
  5. Step 5: Solve for x
    x = 71,413,674.46/9,451.77
  6. Step 6: Final answer
    x = 7,555.59

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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.