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Finding the Fourth Proportional to 9,295.89, 12,827.88 and 5,046.86

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Solution

The fourth proportional to 9,295.89, 12,827.88 and 5,046.86 is: 6,964.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.89 : 12,827.88 = 5,046.86 : x
  2. Step 2: Convert to fraction form
    9,295.89/12,827.88 = 5,046.86/x
  3. Step 3: Cross multiply
    9,295.89x = 12,827.88 × 5,046.86
  4. Step 4: Simplify right side
    9,295.89x = 64,740,450.32
  5. Step 5: Solve for x
    x = 64,740,450.32/9,295.89
  6. Step 6: Final answer
    x = 6,964.42

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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.