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Finding the Fourth Proportional to 9,295.41, 12,827.67 and 5,046.47

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Solution

The fourth proportional to 9,295.41, 12,827.67 and 5,046.47 is: 6,964.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.41 : 12,827.67 = 5,046.47 : x
  2. Step 2: Convert to fraction form
    9,295.41/12,827.67 = 5,046.47/x
  3. Step 3: Cross multiply
    9,295.41x = 12,827.67 × 5,046.47
  4. Step 4: Simplify right side
    9,295.41x = 64,734,423.37
  5. Step 5: Solve for x
    x = 64,734,423.37/9,295.41
  6. Step 6: Final answer
    x = 6,964.13

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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.