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Finding the Fourth Proportional to 9,295.30, 12,827.46 and 5,046.45

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Solution

The fourth proportional to 9,295.30, 12,827.46 and 5,046.45 is: 6,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.30 : 12,827.46 = 5,046.45 : x
  2. Step 2: Convert to fraction form
    9,295.30/12,827.46 = 5,046.45/x
  3. Step 3: Cross multiply
    9,295.30x = 12,827.46 × 5,046.45
  4. Step 4: Simplify right side
    9,295.30x = 64,733,071.38
  5. Step 5: Solve for x
    x = 64,733,071.38/9,295.30
  6. Step 6: Final answer
    x = 6,964.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.