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Finding the Fourth Proportional to 9,768.04, 13,480.86 and 5,576.92

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Solution

The fourth proportional to 9,768.04, 13,480.86 and 5,576.92 is: 7,696.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,768.04 : 13,480.86 = 5,576.92 : x
  2. Step 2: Convert to fraction form
    9,768.04/13,480.86 = 5,576.92/x
  3. Step 3: Cross multiply
    9,768.04x = 13,480.86 × 5,576.92
  4. Step 4: Simplify right side
    9,768.04x = 75,181,677.75
  5. Step 5: Solve for x
    x = 75,181,677.75/9,768.04
  6. Step 6: Final answer
    x = 7,696.70

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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.