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Finding the Fourth Proportional to 9,542.54, 13,168.70 and 5,816.54

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Solution

The fourth proportional to 9,542.54, 13,168.70 and 5,816.54 is: 8,026.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.54 : 13,168.70 = 5,816.54 : x
  2. Step 2: Convert to fraction form
    9,542.54/13,168.70 = 5,816.54/x
  3. Step 3: Cross multiply
    9,542.54x = 13,168.70 × 5,816.54
  4. Step 4: Simplify right side
    9,542.54x = 76,596,219.00
  5. Step 5: Solve for x
    x = 76,596,219.00/9,542.54
  6. Step 6: Final answer
    x = 8,026.82

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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.