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Finding the Fourth Proportional to 9,538.86, 13,163.58 and 6,006.72

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Solution

The fourth proportional to 9,538.86, 13,163.58 and 6,006.72 is: 8,289.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.86 : 13,163.58 = 6,006.72 : x
  2. Step 2: Convert to fraction form
    9,538.86/13,163.58 = 6,006.72/x
  3. Step 3: Cross multiply
    9,538.86x = 13,163.58 × 6,006.72
  4. Step 4: Simplify right side
    9,538.86x = 79,069,939.26
  5. Step 5: Solve for x
    x = 79,069,939.26/9,538.86
  6. Step 6: Final answer
    x = 8,289.24

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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.