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Finding the Fourth Proportional to 9,789.40, 13,509.78 and 6,959.80

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Solution

The fourth proportional to 9,789.40, 13,509.78 and 6,959.80 is: 9,604.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,789.40 : 13,509.78 = 6,959.80 : x
  2. Step 2: Convert to fraction form
    9,789.40/13,509.78 = 6,959.80/x
  3. Step 3: Cross multiply
    9,789.40x = 13,509.78 × 6,959.80
  4. Step 4: Simplify right side
    9,789.40x = 94,025,366.84
  5. Step 5: Solve for x
    x = 94,025,366.84/9,789.40
  6. Step 6: Final answer
    x = 9,604.81

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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.