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Finding the Fourth Proportional to 9,793.54, 13,513.33 and 5,815.63

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Solution

The fourth proportional to 9,793.54, 13,513.33 and 5,815.63 is: 8,024.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.54 : 13,513.33 = 5,815.63 : x
  2. Step 2: Convert to fraction form
    9,793.54/13,513.33 = 5,815.63/x
  3. Step 3: Cross multiply
    9,793.54x = 13,513.33 × 5,815.63
  4. Step 4: Simplify right side
    9,793.54x = 78,588,551.51
  5. Step 5: Solve for x
    x = 78,588,551.51/9,793.54
  6. Step 6: Final answer
    x = 8,024.53

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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.