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Finding the Fourth Proportional to 9,295.86, 12,827.84 and 5,046.82

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Solution

The fourth proportional to 9,295.86, 12,827.84 and 5,046.82 is: 6,964.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.86 : 12,827.84 = 5,046.82 : x
  2. Step 2: Convert to fraction form
    9,295.86/12,827.84 = 5,046.82/x
  3. Step 3: Cross multiply
    9,295.86x = 12,827.84 × 5,046.82
  4. Step 4: Simplify right side
    9,295.86x = 64,739,799.47
  5. Step 5: Solve for x
    x = 64,739,799.47/9,295.86
  6. Step 6: Final answer
    x = 6,964.37

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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.