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Finding the Fourth Proportional to 9,543.41, 13,167.73 and 6,004.42

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Solution

The fourth proportional to 9,543.41, 13,167.73 and 6,004.42 is: 8,284.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.41 : 13,167.73 = 6,004.42 : x
  2. Step 2: Convert to fraction form
    9,543.41/13,167.73 = 6,004.42/x
  3. Step 3: Cross multiply
    9,543.41x = 13,167.73 × 6,004.42
  4. Step 4: Simplify right side
    9,543.41x = 79,064,581.37
  5. Step 5: Solve for x
    x = 79,064,581.37/9,543.41
  6. Step 6: Final answer
    x = 8,284.73

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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.