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Finding the Fourth Proportional to 9,476.92, 13,076.64 and 5,285.20

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Solution

The fourth proportional to 9,476.92, 13,076.64 and 5,285.20 is: 7,292.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.92 : 13,076.64 = 5,285.20 : x
  2. Step 2: Convert to fraction form
    9,476.92/13,076.64 = 5,285.20/x
  3. Step 3: Cross multiply
    9,476.92x = 13,076.64 × 5,285.20
  4. Step 4: Simplify right side
    9,476.92x = 69,112,657.73
  5. Step 5: Solve for x
    x = 69,112,657.73/9,476.92
  6. Step 6: Final answer
    x = 7,292.73

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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.