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Finding the Fourth Proportional to 7,093.54, 9,784.65 and 5,100.94

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Solution

The fourth proportional to 7,093.54, 9,784.65 and 5,100.94 is: 7,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.54 : 9,784.65 = 5,100.94 : x
  2. Step 2: Convert to fraction form
    7,093.54/9,784.65 = 5,100.94/x
  3. Step 3: Cross multiply
    7,093.54x = 9,784.65 × 5,100.94
  4. Step 4: Simplify right side
    7,093.54x = 49,910,912.57
  5. Step 5: Solve for x
    x = 49,910,912.57/7,093.54
  6. Step 6: Final answer
    x = 7,036.11

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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.