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Finding the Fourth Proportional to 9,295.74, 12,827.84 and 5,046.60

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Solution

The fourth proportional to 9,295.74, 12,827.84 and 5,046.60 is: 6,964.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.74 : 12,827.84 = 5,046.60 : x
  2. Step 2: Convert to fraction form
    9,295.74/12,827.84 = 5,046.60/x
  3. Step 3: Cross multiply
    9,295.74x = 12,827.84 × 5,046.60
  4. Step 4: Simplify right side
    9,295.74x = 64,736,977.34
  5. Step 5: Solve for x
    x = 64,736,977.34/9,295.74
  6. Step 6: Final answer
    x = 6,964.16

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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.