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Finding the Fourth Proportional to 9,295.80, 12,828.15 and 5,046.95

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Solution

The fourth proportional to 9,295.80, 12,828.15 and 5,046.95 is: 6,964.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,295.80 : 12,828.15 = 5,046.95 : x
  2. Step 2: Convert to fraction form
    9,295.80/12,828.15 = 5,046.95/x
  3. Step 3: Cross multiply
    9,295.80x = 12,828.15 × 5,046.95
  4. Step 4: Simplify right side
    9,295.80x = 64,743,031.64
  5. Step 5: Solve for x
    x = 64,743,031.64/9,295.80
  6. Step 6: Final answer
    x = 6,964.76

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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.