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Finding the Fourth Proportional to 9,542.70, 13,166.82 and 6,004.62

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Solution

The fourth proportional to 9,542.70, 13,166.82 and 6,004.62 is: 8,285.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,542.70 : 13,166.82 = 6,004.62 : x
  2. Step 2: Convert to fraction form
    9,542.70/13,166.82 = 6,004.62/x
  3. Step 3: Cross multiply
    9,542.70x = 13,166.82 × 6,004.62
  4. Step 4: Simplify right side
    9,542.70x = 79,061,750.71
  5. Step 5: Solve for x
    x = 79,061,750.71/9,542.70
  6. Step 6: Final answer
    x = 8,285.05

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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.